Question

The parents hide Easter eggs in the yard for children to find. The parents hide 100 white eggs, and 30 colored eggs. Susie finds 10 eggs, and she is equally likely to find any egg.

Let X be the number of white eggs Susie finds. X ~ Hypergeometric( , , ).

P(X < 11) =

The probability that Susie finds 7 white eggs is .

The probability that Susie finds 8 white eggs is .

The probability that Susie finds 9 white eggs is .

The most likely number of white eggs for Susie to find is

Answer #1

(ii) probability is .24396

A carton contains 12 eggs. A particular carton is known to have
4 cracked eggs. An inspector randomly chooses 6 eggs from this
carton for inspection. Let X be the number of cracked eggs in the 6
chosen for inspection.
a. What is the probability that there is at least 1 cracked egg
chosen by the inspector?
b. What is the probability that there is exactly 1 cracked egg
chosen by the inspector?
c. What is the probability that there...

Genetics says that children receive genes from each of their
parents independently. Each child of a particular pair of parents
has probability 0.25 of having type O blood. Suppose these parents
have five children. Let X = the number of children with type O
blood
Is this Experiment a binomial setting? Explain?
Find the probability that the exactly four of the children have
type O blood?
c. Find the probability that at least one child has type O blood
[P(X...

Let X be the number of distinct birthdays in a group of 100
people. Find its variance (assuming each person was born on any of
365 days equally likely, and independently from any other
person).

Question 3. There are 100 types of coupons. Independently of the
types of previously collected coupons, each new coupon is equally
likely to be of any of the 100 types. If 200 coupons are collected,
let X be the number of types of coupons that appear exactly twice
in this collection. Find E[X] and Var(X) by using indicator
variables and linearity of expectation.

In a sample of 100 students taken randomly from QU, 70 of them
have Twitter account, 80 have Facebook account, and 60 of them have
both accounts. If a student is randomly selected:
The probability that he/she has at least one account is
The probability that he/she has no Twitter account is
The probability that he/she has Twitter account only is
The probability that he/she has neither Twitter nor Facebook
account is
The probability that he/she has either Twitter or...

Edith Educationer has a real problem with children’s television
programs. She believes there are too many commercials in them. To
study this, she collects a sample of 500 children’s programs (n =
500) and counts how many commercials are on during the program. The
frequency count of programs with the number of commercials is found
below:
Commercials, X
8
9
10
11
12
Frequency
50
75
150
125
100
P(X)
Complete the table to produce the general discrete probability
distribution....

What distribution best models each situation? (No actual work,
just which distribution best models the problem)
A. According to the Daily Racing Form, the probability is about
0.67 that the favorite in a horse race will finish in the money
(first, second or third place). Suppose that you always bet the
favorite “across the board”, which means that you win something if
the favorite finishes in the money. What probability distribution
describes the number of races that you bet until...

FInd the distributions of revenue, costs, and profit, using data
tables with 250 trials
Tanner Park (see Problem 14 in Chapter 11) is a small amusement
park that provides a variety of rides and outdoor activities for
children and teens. In a typical summer season, the number of adult
tickets sold has a normal distribution with a mean of 20,000 and a
standard deviation of 2,000. The number of children’s tickets sold
has a normal distribution with a mean of...

2.Calculating probabilities and quantiles with RUse R and your
knowledge of the common probability densities we’ve talked about
inclass to answer the following questions.(a) A representative from
PSU’s athletic department randomly selects PSU studentsoutside the
HUB to see if they attended the last home men’s basketball game.
Letp, the probability she selects such a person, be equal to 0.001,
and letXdenotethe number of people she must survey until she finds
such a person.i. What is the probability the representative must...

Use R and your knowledge of the common probability densities
we’ve talked about inclass to answer the following questions.(a) A
representative from PSU’s athletic department randomly selects PSU
studentsoutside the HUB to see if they attended the last home men’s
basketball game. Letp, the probability she selects such a person,
be equal to 0.001, and letXdenotethe number of people she must
survey until she finds such a person.i. What is the probability the
representative must select 4 people to find...

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