Question

The distance that an olympic standard male long jumper clears at every attempt, is a normal random variable with mean 8 meters and s.d. 10 cm. what is the distance that he will clear with probability 0.95? what is the distance that he will clear only 10% of the time

Answer 1

please explain the question correctly

Answer 2

Answer:

Use tables of std. Normal distn.

Step-by-step explanation:

X = Distance he covers in each jump.

1. P(X≤x) =0.95

2. P(Z≤ (x-8)/10) = 0.95

=> (x-8)/10 ≈ 1.65 { From tables}

x=24.5

Likewise for the rest.

P.S The analysis can be done for maximum distance only.

Hope it helps.