Assume that the random variable x is normally distributed, with mean ? = 50 and standard deviation ? = 7. compute the following probabilities. be sure to draw a normal curve with the area corresponding to the probability shaded.

p(56 < x < 68)

b- find the value of za.

z 0.02

c-assume that the random variable x is normally distributed, with mean ? = 50 and standard deviation ? = 7. find each indicated percentile for x.

the 90th percentile

d-the graph of a normal curve is given. use the graph to identify the values of ? and ? .

Step-by-step explanation:

Given that  the random variable X is normally distributed, with

mean  = 50 and standard deviation  = 7.

Then we have z=

Using this and normal table we find that

a)

b) When z=0.02

we get

c) 90th percentile z value =1.645

90th percentile of X

answer: huh

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.