Question

1. In a list of 15 households, 9 own homes and 6 do not own homes....

1. In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

2. A really bad carton of 18 eggs contains 9 spoiled eggs. An unsuspecting chef picks 6 eggs at random for his " Mega-Omelet Surprise." Find the probability that the number of spoiled eggs among the 6 selected is

(A) exactly 6. Round your answer to four decimal places

(B) 2 or fewer. Round your answer to four decimal places

(C) more than 1. Round your answer to four decimal places.

3. Six jurors are to be selected from a pool of 20. potential candidates to hear a civil case involving a lawsuit between two families. unknown to the judge or any of the attorneys, 4 of the 20 prospective jurors are potentially prejudiced by being acquainted with one or more of the litigants. they will not disclose this during the jury selection process. if 6 jurors are selected at random from this group of 20, find the probability that the number of potentially prejudiced jurors among the 6 selected jurors is exactly 1

Round your answer to four decimal places

5. you get a fruit basket containing 10 apples. let X be the number of apples left in the basket. Determine all possible values for the random varible X?

6. you grab two books at random off a shelf . let X be the number of those two books that you have previously read . determine all possible values for the random variable x?

7. Classify each variable as discrete or continuous

(a) the weight of a bunch of bananas
(b) the number of bananas in a bunch
(c) the time it takes to run a mile
(d) the number of push-ups a person can do

8. A random variable is a variable whose value is determined by the?

9.A discrete random variable is a random variable?

Homework Answers

Answer #1

#1.
5 households from 15 can be selected in 15C5.
3 households which own homes can be selected in 9C3 and remaining 2 which do not can be selected in 6C2

Hence required probability,
P(Exactly 3) = 9C3*6C2/15C5 = 0.5594

#2.
total 18, 9 - spoiled and 9 - good

A)
9C6 indicates all selected are spoiled
P(X = 6) = 9C6/18C6 = 0.0045

B)
P(X <= 2) = (9C6*9C0 + 9C5*9C1 + 9C4*9C2)/18C6
P(X <= 2) = 0.3100

C)
P(X > 1) = 1 - P(X <= 1)
P(X <= 1) = (9C6*9C0 + 9C5*9C1)/18C6 = 0.0656
P(X > 1) = 1 - 0.0656 = 0.9344

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Assume that 12 jurors are randomly selected from a population in which 76% of the people...
Assume that 12 jurors are randomly selected from a population in which 76% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0.0003 4 0.0018 5 0.0092 6 0.034 7 0.0924 8 0.1828 9 0.2573 10 0.2444 11 0.1407 12 0.0371 Find the probability of exactly 5 Mexican-Americans among 12 jurors. Round your answer to four decimal places. P(x=5)=P(x=5)= Find the probability of...
A humane society claims that less than thirty two percent of U.S. households own a dog....
A humane society claims that less than thirty two percent of U.S. households own a dog. In a random sample of four hundred and nine U.S.​ households, 153 say they own a dog. At alphaαequals=0.04 is there enough evidence to support the​ society's claim?​(a) Write the claim mathematically and identify Upper H 0H0 and Upper H Subscript aHa. ​(b) Find the critical​ value(s) and identify the rejection​ region(s). (c) Find the standardized test statistic.​ (d) Decide whether to reject or...
1. Let X be a discrete random variable. If Pr(X<6) = 1/5, and Pr(X>6) = 1/7,...
1. Let X be a discrete random variable. If Pr(X<6) = 1/5, and Pr(X>6) = 1/7, then what is Pr(X=6)? Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12). 2. A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table. Number of complaints 0...
X ~ N(70, 9). Suppose that you form random samples of 25 from this distribution. Let...
X ~ N(70, 9). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let ΣX be the random variable of sums. B) Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.) C)Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(X < 70) = D)Find the 20th percentile....
1) Suppose a random variable, x, arises from a binomial experiment. Suppose n = 6, and...
1) Suppose a random variable, x, arises from a binomial experiment. Suppose n = 6, and p = 0.11. Write the probability distribution. Round to six decimal places, if necessary. x P(x) 0 1 2 3 4 5 6 Find the mean. μ = Find the variance. σ2 = Find the standard deviation. Round to four decimal places, if necessary. σ = 2) Suppose a random variable, x, arises from a binomial experiment. Suppose n = 10, and p =...
The data show the list and selling prices for several expensive homes. Find the regression​ equation,...
The data show the list and selling prices for several expensive homes. Find the regression​ equation, letting the the list price be the independent​ (x) variable. Find the best predicted selling price of a home having a list price of ​$4 million. Is the result close to the actual selling price of $4.2​million? List price​ (millions of​ $) 2.8 2.9 2.3 3.4 2.1 1.6 Selling price​ (millions of​ $) 2.6 3 2.2 3.7 1.9 1.8 What is the regression​ equation?...
Suppose that the weight of open boxes of cereal in a home with children is uniformly...
Suppose that the weight of open boxes of cereal in a home with children is uniformly distributed from one to three pounds with a mean of two pounds and standard deviation of 0.5774. We randomly survey 64 homes with children. Part (a) In words, define the random variable X. the number of open boxes of cereal in the home the weight, in pounds, of open boxes of cereal the weight, in pounds, of the children in the home the number...
Suppose that a box contains 6 pens and that 4 of them are defective. A sample...
Suppose that a box contains 6 pens and that 4 of them are defective. A sample of 2 pens is selected at random without replacement. Define the random variable XX as the number of defective pens in the sample. If necessary, round your answers to three decimal places. Write the probability distribution for XX. xx P(X=xX=x) What is the expected value of X?  
Chapter 13 #1 The table below gives the list price and the number of bids received...
Chapter 13 #1 The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression...
X ~ N(50, 9). Suppose that you form random samples of 25 from this distribution. Let...
X ~ N(50, 9). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Part (a) Sketch the distributions of X and X-bar on the same graph. Part (b) Give the distribution of X-bar. (Enter an exact number as an integer, fraction, or decimal.) X ~ , Part (c) Sketch the graph, shade the region, label and scale the horizontal axis for X-bar, and find the probability. (Round your answer to...