Question

(1) The scores ou au aptitude test for fuger dexterity are normally distributed with meau 250 andstandard deviation 65.a) What is the probability that a persou selected at random will score between 240 aud 270 on thetest?b) Test is given to a random sample of seven people. What is the probability that the meau score,I for the sample will be between 240 and 270?

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given parameters

$\begin{gathered} \operatorname{mean}(\mu)=250 \\ \text{Standard deviation(}\sigma)=65 \end{gathered}$

STEP 2: Represent the probability required

$\begin{gathered} Let\text{ X represents the scores which }is\text{ given to be normally distributed }with\text{ mean of 250 and }s.d\text{ of 65} \\ \text{Then, we are }required\text{ to find }P(240

STEP 3: Find the probability

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