We roll a pair dice 10,000 times. Estimate the probability that the number of times we get snake eyes (two ones) is between 280

Question

3 years ago

9

and 300.

1 answer:

Natali5045456 [20] · Answer 1 · 2022-02-27T16:21:38+03:00

Answer:

0.3573 = 35.7%

Step-by-step explanation:

We roll a pair of dice 10,000 times so the mean and standard deviation is,

μ = 10000/36 =277.7 σ = $\sqrt{10000*\frac{35}{36^{2} } } =16.4$

$z_{1}$ = (280 - 277.7)/16.4 = .14

$z_{2}$ = (300 - 277.7)/16.4 = 1.35

Probablity (range)

0.3573

Z(low)=0.14 0.555766357

Z(upper)=1.36 0.91304644