Answer:
i) 0.872
ii) 0.300
iii) 0.76
iv) 0.704
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $261.50 per month
Standard Deviation, σ = $16.25
We are given that the distribution of monthly food cost for a 14- to 18-year-old male is a bell shaped distribution that is a normal distribution.
Formula:
a) P(Less than $280)
Calculation the value from standard normal z table, we have,
b) P(More than $270)
P(x > 270)
Calculation the value from standard normal z table, we have,
c) P(More than $250)
P(x > 250)
Calculation the value from standard normal z table, we have,
d) P(Between $240 and $275)
e) Thus, 0.704 is the probability that the monthly food cost for a randomly selected 14- to 18-year-old male is between $240 and $275.