The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.

Admissions Probability 1,080 0.4 1,380 0.1 1,540 0.5

1. What is the expected number of admissions for the fall semester? Expected number of admissions 1340

2. Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.) Variance Standard deviation

1. 1340

2. Variance = 47200, standard deviation = 217.25556

Step-by-step explanation:

1-

If X is the random variable that give the number of admissions, then the expected number of admissions E[X] for the fall semester is

1080*P(X=1080)+1380*P(X=1380)+1540*P(X=1540) =

1080*0.4+1380*0.1+1540*0.5 = 1340

2-

The variance is defined as

We have

whereas

So the variance equals

The standard deviation is just the square root of the variance, so, the standard deviation is

inequality:

620-37.4p ≥ 450

the minimum amount of packages needed to be removed from the elevator is 5.

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.