Answer:
0.5746
Step-by-step explanation:
Lets call X monthly bill chosen. X is a random variable with distribution N(μ=53,σ =15). We first standarize X, lets call W = (X-53)/15, random variable obtained from X by substracting μ and dividing by σ. W is a random variable with distribution N(0,1) and the cummulative function of W, Φ, is tabulated. You can find the values of Φ on the attached file. Using this information we obtain
A standard normal random variable has a symmetric density function, as a result Φ(-0.4) = 1- Φ(0.4) = 1- 0.6554 = 0.3446. Also, Φ(1.4) = 0.9192. We conclude that Φ(1.4)-Φ(-0.4) = 0.9192-0.3446 = 0.5746, that is the probability that the phone bill is between 47 and 74 euros.
Y=(x3)2
if x=5
y=(5.3)2
=(15)2
=30
Answer:
Earnings current month of Michale = 3600
Step-by-step explanation:
Given that after the car payment is deducted, Michael take home pay will be $3060 per month. His monthly car payment is 15% of his earnings,
Let his earnings be 100
His car payment 15
His take home pay = 85
If 85 is take home pay earnings = 100
Hence if 3060 is take home pay earning = ?
This is a question of direct variation since if take home pay increases total earnings also increase.
So earnings =
Earnings current month of Michale = 3600
100 Centimeters = 39.3700787 Inches