Answer: 0.009
Step-by-step explanation:
Formula we use here : Binomial distribution formula
Probability of getting success sin x trial = , where n is the sample size and p is the probability of success in each trial .
Given : A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.
i.e. p= 0.65
Sample size : n= 11
Now, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating:-
Hence, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating = 0.009
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation
Calculate z-scores for the following random variable and determine their probabilities from standard tables.
x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088
x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912
x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587
x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413
Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36
Answer: 27
Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36
Answer: 27
Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78
Answer: 204
Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150
Answer: 150
Answer:
5(2 + y)
Step-by-step explanation:
The sum of 2 and y is 2 + y and 5 times this sum is
5(2 + y)
The nearest whole number would be 93 because you round up if the decimal place is greater than 5 and down if it's less.