b. What is the probability that fewer than four corporate officers were female? c. What is the probability that more than two corporate officers were female? d. What are the mean and standard deviation for this distribution?
b. What is the probability that fewer than four corporate officers were female? c. What is the probability that more than two corporate officers were female? d. What are the mean and standard deviation for this distribution?
b. What is the probability that fewer than four corporate officers were female? c. What is the probability that more than two corporate officers were female? d. What are the mean and standard deviation for this distribution?
b. What is the probability that fewer than four corporate officers were female?
c. What is the probability that more than two corporate officers were female?
d. What are the mean and standard deviation for this distribution?
Transcribed Image Text:According to a magazine, as of January 2018, 7% of chief executive officers were women. Complete parts a through d based on a random sample of 12 CEOs.
a. What is the probability that one corporate officer was female?
The probability is 0.3781.
(Round to four decimal places as needed.)
b. What is the probability that fewer than four corporate officers were female?
The probability is.
(Round to four decimal places as needed.)
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
Expert Solution
Introduction :
Given data
x = "Women chief executive officer"
Probability of success (p) = 7% ~ 0.07
Independent trials (n) = 12
With the above information it can observe that the variable x = "Women chief executive officer" is said to follows the binomial distribution with the probability of success (p) = 7% and with 12 independent samples. The binomial probability distribution has the probability mass function (PMF)
