Question

The probability distribution for the random variable x follows. x f(x) 20 0.25 26 0.14 31...

The probability distribution for the random variable x follows. x f(x) 20 0.25 26 0.14 31 0.28 36 0.33 Is this a valid probability distribution? What is the probability that x = 31 (to 2 decimals)? What is the probability that x is less than or equal to 26 (to 2 decimals)? What is the probability that x is greater than 31 (to 2 decimals)?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The probability distribution for the random variable x is

x f(x)
20 0.25
26 0.14
31 0.28
36 0.33

Is this a valid probability distribution?

The sum of the probabilities is 0.25 + 0.14 + 0.28 + 0.33 = 1

As, the sum of the probabilities is 1, this is a valid probability distribution.

What is the probability that x = 31 (to 2 decimals)?

The probability that x = 31 is

P[x = 31] = 0.28

What is the probability that x is less than or equal to 26 (to 2 decimals)?

The probability that x is less than or equal to 26 is

P[x 26] = P[x = 20] + P[x = 26]

= 0.25 + 0.14 = 0.39

What is the probability that x is greater than 31 (to 2 decimals)?

The probability that x is greater than 31 is

P[x > 31] = P[x = 36] = 0.33

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The cumulative distribution function for a random variable X is F(x)= 0 if x less than...
The cumulative distribution function for a random variable X is F(x)= 0 if x less than or equal 0, or F(x)=sinx if 0 is less than x is less than or equal to pi/2 , or F(x)= 1, if x is greater than pi/2 . (a) find P(0.1 less than X less than 0.2. (b) find E(x)
The random variable X follows a binomial distribution with n=20 and p=0.6. a) What is the...
The random variable X follows a binomial distribution with n=20 and p=0.6. a) What is the expected value of X? Your answer should be an integer. b) What is the probability X equals 10? Include 4 decimal places in your answer. c) What is the probability X is greater than 14? Include 4 decimal places in your answer. d) What is the probability that X is no more than 11? Include 4 decimal places in your answer. e) What is...
In the following probability​ distribution, the random variable x represents the number of activities a parent...
In the following probability​ distribution, the random variable x represents the number of activities a parent of a 6th to 8th​-grade student is involved in. Complete parts​ (a) through​ (f) below. x 0 1 2 3 4 ​P(x) 0.395 0.075 0.199 0.195 0.136 ​(a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is ___and each probability is ___ (Less than or equal to 1; Greater than or equal...
Determine whether or not the table is a valid probability distribution of a discrete random variable....
Determine whether or not the table is a valid probability distribution of a discrete random variable. Explain fully. a. x -2 0 2 4 P(x) 0.3 0.5 0.2 0.1 b. x 0.5 0.25 0.25 P(x) -0.4 0.6 0.8 c. x 1.1 2.5 4.1 4.6 5.3 P(x) 0.16 0.14 0.11 0.27 0.22
There is a random variable X. It has the probability distribution of f(x) = 0.55 -...
There is a random variable X. It has the probability distribution of f(x) = 0.55 - 0.75X, for 2 < x < 6. What is E(X)? Continuing with the random variable X from question 1 (It has the probability distribution of f(x) = 0.55 - .075X, for   2 < x < 6): What is V(X)?
__________ For a continuous random variable x, the area under the probability distribution curve between any...
__________ For a continuous random variable x, the area under the probability distribution curve between any two x-values is always _____. Greater than 1    B) less than zero    C) equal to 1    D) in the range zero to 1, inclusive _________For a continuous random variable x, the total area under the probability distribution curve of x is always ______? Less than1          B) greater than 1              C) equal to 1                      D) 0.5 ___________ The probability that a continuous random variable x...
If the random variable X follows a binomial distribution with the probability of success given by...
If the random variable X follows a binomial distribution with the probability of success given by p, show that the variance of X is equal to np(1-p). [Hint:Consider first a Bernoulli probability distribution with n=1.]
The following table lists the probability distribution of a discrete random variable x: x = 0,1,2,3,4,5,6,7...
The following table lists the probability distribution of a discrete random variable x: x = 0,1,2,3,4,5,6,7 P(x) = 0.04, 0.11, 0.18, 0.22, 0.12, 0.21, 0.09, 0.03 a. The probability that x is less then 5: b. The probability that x is greater then 3: c. The probability that x is less than or equal ti 5: d. The probability that x is greater than or equal to 4: e. The probability that x assumes a value from 2 to 5:...
1. There is a random variable X. It has the probability distribution of f(x) = 0.55...
1. There is a random variable X. It has the probability distribution of f(x) = 0.55 - .075X, for 2 < x < 6. What is E(X)? 2. Continuing with the random variable X from question 1 (It has the probability distribution of f(x) = 0.55 - .075X, for   2 < x < 6): What is V(X)? 3. Let R and S be two independent and identically distributed random variables. E(R) = E(S) = 4. V(R) = V(S) = 3....
1. A random variable X has a normal distribution with a mean of 75 and a...
1. A random variable X has a normal distribution with a mean of 75 and a variance of 9. Calculate P(60 < X < 70.5). Round your answer to 4 decimal places. 2. A random variable X has a uniform distribution with a minimum of -50 and a maximum of -20. Calculate P(X > -25). Round your answer to 4 decimal places. 3.Which of the following statements about continuous random variables and continuous probability distributions is/are TRUE? I. The probability...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT