<em><u>Solution:</u></em>
Given that,
Stan drinks 3/4 of a 8 ounce glass of water in 1/2 of an hour
Which means,
Therefore,
6 ounces is drank in 0.5 hour
We have to find the water he drinks in an hour
Let "x" be the water he drinks in 1 hour
Thus we get,
6 ounce = 0.5 hour
x ounces = 1 hour
This forms a proportion and we can solve the sum by cross multiplying
Thus, he drinks 12 ounces of water in 1 hour
Answer:
The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199
Step-by-step explanation:
The given probability that the pitcher throws a strike, p = 0.507
The number of pitches thrown by the pitcher = 15 pitches
The probability that the pitcher does not throw a strike, q = 1 - P
∴ q = 1 - 0.507 = 0.493
By binomial theorem, we have;
When X = r = 8, and n = 15, we get;
The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows
P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199
Answer:
Step-by-step explanation:
