Suppose you are taking the MCAT, and you randomly guess on 15 questions. Suppose each question has one correct answer of 5 possible choices (a, b, c, d, and e). Let X be the number of correct guesses in those 15 questions. a. Is X a binomial experiment? Explain.
b. Find the probability that you get 0 correct.
c. Find the probability that you get 8 or more correct.
d. Find the probability that you get all 15 correct.
e. What is the expected number of correct guesses in 15 questions?

answer: 1, 3 and 5 are correct

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;