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oee [108]
3 years ago
9

The length of time needed to complete a certain test is normally distributed with mean 62 minutes and standard deviation 8 minut

es. Find the probability that it will take less than 74 minutes to complete the test.a) 0.0668b) 0.5334c) 0.5000d) 0.4666e) 0.9332
Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer: the correct option is e

Step-by-step explanation:

Since the The length of time needed to complete a certain test is normally distributed, we would apply the the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = The length of time needed to complete a certain test

u = mean time

s = standard deviation

From the information given,

u = 62 minutes

s = 8 minutes

We want to find the probability the probability that it will take less than 74 minutes to complete the test. It is expressed as

P(x lesser than or equal to 74)

For x = 74,

z = (74 - 62)/8 = 1.5

Looking at the normal distribution table, the corresponding value for the z score is 0.9332

P(x lesser than or equal to 74) = 0.9332

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Answer:

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Step-by-step explanation:

To find x, we want to isolate our 3 from our x-values. You can add three to both sides of the equation and get it to the other side and then subtract 1/5x from 5x.

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