A manufacturing machine has a 55% defect rate. If 143 items are chosen at random, answer the following.

a) Which is the correct wording for the random variable?

Select an answer

rv X= the number of randomly selected items that are defective

rv X = is defective

rv X = the probability that a randomly selected item is defective

rv X = all items that are defective

rv X = a randomly selected item that is defective

rv X = a randomly selected item

rv X = the number of 143 randomly selected items that are defective

b) Pick the correct symbol:?

p

N

X

n

s

X

= 143

c) Pick the correct symbol:?

X

X

s

p

n

N

= 0.55

d) What is the probability that exactly 77 of them are defective?

Round final answer to 4 decimal places.

e) What is the probability that less than 77 of them are defective?

Round final answer to 4 decimal places.

f) What is the probability that more than 77 of them are defective?

Round final answer to 4 decimal places.

g) What is the probability that exactly 81 of them are defective?

Round final answer to 4 decimal places.

h) What is the probability that at least 81 of them are defective?

Round final answer to 4 decimal places.

i) What is the probability that at most 81 of them are defective

Round final answer to 4 decimal places.