Question

Question 1 

A baseball player has a pr=.12 chance of success on any given plate appearance 

Suppose the player has 3 independent plate appearances. 

What is the probability the player will make zero successes during the 3 independent plate appearances ? 

Round your answer to four decimal places.

Question 2

A softball player has a p= .29 chance of success on any given plate appearance 

Suppose the player has 4 independent plate appearances. 

What is the probability the player will make at least one success during the 4 independent plate appearances ? 

Round your answer to four decimal places.

Question 3 

According to recent polls, p=0.84 of tigers say “yes” (they will) vote for Hobbes in the upcoming election. Suppose that we ask n = 575 randomly selected tigers if they will vote for Hobbes. Then, the random variable... x = number of "yes votes" in 575 independent trials is binomial! That is, x ~ B(575, 0.84) 

What is the mean of the random variable x? (Round your answer to two decimal places) 

***Please take note of this concept*** 

On average, we can expect μ = ? successes with a standard deviation of 

Question 4 

According to recent polls, p = 0.30 of elementary school children say “yes” (they will) vote for Calvin in the upcoming election. Suppose that we ask n = 302 randomly selected children if they will vote for Calvin. Then, the random variable... 

x = number of "yes votes" in 302 independent trials is binomial! That is, x~ B(302, 0.30) 

What is the standard deviation of the random variable x? (Round your answer to two decimal places) 

***Please take note of this concept*** 

On average, we can expect μ = np successes with a standard deviation of  σ = ?

Answer 1