Answer: The probability that exactly six will make a purchase is 0.15
Step-by-step explanation:
We would apply the formula for binomial distribution which is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 44% = 44/100 = 0.44
q = 1 - p = 1 - 0.44
q = 0.56
n = 10
x = r = 6
Therefore,
P(x = 6) = 10C6 × 0.44^6 × 0.56^(10 - 6)
P(x = 6) = 210 × 0.0073 × 0.098
P(x = 6) = 0.15
