Question

In: Statistics and Probability

Correct the final answers to 4 decimal places whenever appropriate. The score in an test is...

Correct the final answers to 4 decimal places whenever appropriate.

The score in an test is normally distributed with a mean of 590 and a standard deviation of 150. A researcher randomly selected some candidates who took the test. If the score of a candidate is less than 480, the candidate is classified as failing the test.

Find the probability that a randomly selected candidate fails the test.
Find the value of k if there is10% chance that a randomly selected candidate student has a score more thank.
Suppose a random sample of 13 candidates is selected. Find the probability that the mean score of them is over 550.
Suppose a random sample of 7candidatesis selected. Find the probability that at most 2 of them with score less than 524.
Suppose a random sample of 500 candidates is selected. Find the probability that at least 350 of them with score more than 524.

Expert Solution

Given that the score in an test is normally distributed with a mean of 590 and a standard deviation of 150.

a) The probability,

b) We need

c) The probability,

d) The probability,

Now use binomial distribution,

e) Here

Now use binomial distribution,

orchestra answered 2 years ago

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