find the mean μ, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth.
n = 1632, p = 0.57
A) μ= 930.2
B) μ= 922.7
C) μ= 937.5
D) μ= 939.9
D) μ= 939.9
To find the mean (μ) of a binomial distribution, you can use the formula μ = n * p, where n is the number of trials and p is the probability of success in each trial.
Given n = 1632 and p = 0.57, we can calculate the mean as follows:
μ = n * p
μ = 1632 * 0.57
μ ≈ 930.24
Rounding the answer to the nearest tenth, we get μ ≈ 930.2.
Therefore, the correct option is:
A) μ = 930.2
To find the mean (μ) of the binomial distribution for the given values of n (1632) and p (0.57), we use the formula:
μ = n * p
Let's calculate the mean:
μ = 1632 * 0.57
μ = 930.24
Now, to round the answer to the nearest tenth, we look at the digit in the hundredth place. Since it is 0.2, which is greater than or equal to 0.5, we round up the tenths place digit.
Therefore, the mean (μ) rounded to the nearest tenth is 930.2.
So, the correct option is A) μ = 930.2.