Answer:
140 is the answer for y2 because x1 is 80 more than x2 so you would subtract y2 by 80
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
Draw a simple branch diagram to work the probabilities out.
You find that the chance of a poisonous mushroom is 0.08 and the chance of a red poisonous is 0.04.
So the probability that a poisonous mushroom is red is 1/2 or 0.5.
Let total amount spent =x
Dita spent 35 % of total amount.
35% of x = 0.35x
So amount spent by Dita = 0.35x
% of money spent by Benton = 20 % of x = 0.2x
We are given that Benton spent $12 more than Claire,
so making equation we have ,
Money spent by Dita = Money spent by Claire +12
x=80
So total amount spent was $80.
Money spent by Benton = 0.2x = 0.2 * 80= $16
So amount spent by Benton is $16.
