Correct the final answers to 4
Correct the final answers to 4 decimal places wheneverappropriate.
The score in an test is normally distributed with a mean of 590and a standard deviation of 150. A researcher randomly selectedsome candidates who took the test. If the score of a candidate isless than 480, the candidate is classified as failing the test.
- Find the probability that a randomly selected candidate failsthe test.
- Find the value of k if there is10% chance that a randomlyselected candidate student has a score more thank.
- Suppose a random sample of 13 candidates is selected. Find theprobability that the mean score of them is over 550.
- Suppose a random sample of 7candidatesis selected. Find theprobability that at most 2 of them with score less than 524.
- Suppose a random sample of 500 candidates is selected. Find theprobability that at least 350 of them with score more than524.
Answer:
Given that the score in an test is normally distributed with amean 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,
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