Question

PLEASE HELP ME SOLVE THIS PROBLEM,I’ve asked 4 tutors already

Answer 1

Step 1

Find the Z-score

`\begin{gathered} Z=(x-\mu)/(\sigma) \\ \sigma=6.57 \\ x=236 \\ \mu=246 \end{gathered}`
`\begin{gathered} Z=(236-246)/(6.57) \\ Z=(-10)/(6.57)=(-1000)/(657) \end{gathered}`

Step 2

Find the probability that 49 balls traveled less than 236ft

`\begin{gathered} P(x<236)=\text{ P\lparen z<}(-1000)/(657)) \\ \text{P\lparen z<}(-1000)/(657))=0.0639957691005 \\ \text{P\lparen z<}(-1000)/(657))\approx0.0640 \end{gathered}`

Step 3

Find the 80th percentile of the distribution of the average of 49 fly balls.

Let the 80th percentile of the distribution of 49 fly balls be a