The answer is William Parker.
The probability that X is greater than 70 and less than 90 is; 0.85
<h3>How to find the probability?</h3>
Let X be the binomial random variable with the parameters:
n = 200
p = 0.4
Then, the random variable Z defined as:
Z = (X - np)/(√(np(1 - p)
The probability that X is greater than 70 and less than 90 is expressed as; P(70 < X < 90)
At X = 70, we have;
Z = (70 - (200*0.4))/(√(200 * 0.4(1 - 0.4))
Z = -1.44
At X = 90, we have;
Z = (90 - (200*0.4))/(√(200 * 0.4(1 - 0.4))
Z = 1.44
Thus, the probability would be expressed as;
P(-1.44 < Z < 1.44)
From online p-value calculator, we have;
P(-1.44 < Z < 1.44) = 0.85
Complete question is;
Suppose that X is a binomial random variable with n = 200 and p = 0.4 Approximate the probability that X is greater than 70 and less than 90.
Read more about probability at; brainly.com/question/4621112
#SPJ1
The features of a comedy of manners include a flamboyant display of witty behaviour.
<h3>What is comedy of manners?</h3>
Comedy of manners is a type of comedy in drama that is used to evaluate whether some characters meet certain social standards.
Features of comedy of manners include all the materialistic nature of people which depicts their behaviour.
Therefore, the features of a comedy of manners include a flamboyant display of witty behaviour.
Learn more about comedy here:
brainly.com/question/7100298
#SPJ1
