Consider the probability that at least 96 out of 152 computers will not crash in a day. Assume the probability that a given computer will not crash in a day is 66%.Approximate the probability using the normal distribution. Round your answer to four decimal places.

0.2061

Step-by-step explanation:

Probability (no crash) = 66% = 0.66

Average (no crash) expected out of 152 computers = 0.66 (152) = 100.32

Standard deviation 's' =  √ [ (154) (0.66) (1-0.66) ] = √ (154) (0.66) (0.34)

=  √ 34.5576 = 5.87

P (x > 96) = 1 - P (x < 95)

z= (x - u) / s ;  x = sample mean = 95.5 (continuity correction factor = 0.5) ,   u = population average = 100.32

z = (95.5 - 100.32) / 5.87 = 4.82 / 5.87 = 0.82

P (x < 95) = P (z < 0.82) = 0.7939

P (x > 96) = 1 -  0.7939  = 0.2061

1. 34

2. 268

3. x=14.4

step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right