Once a week, Haziq rows his boat from the island where he lives to the mainland. The
Question:
Once a week, Haziq rows his boat from the island where he lives to the mainland. The journey time, X minutes, is normally distributed with mean μ and variance σ2.
a. Given that P(20 ≤ X < 30) = 0.32 and that P(X < 20) = 0.63, find the values of μ and σ2.
b. The time taken for Haziq to row back home, Y minutes, is normally distributed and P(Y < 20) = 0.6532.
Given that the variances of X and Y are equal, calculate:
i. The mean time taken by Haziq to row back home
ii. The expected number of days over a period of five years (each of 52 weeks) on which Haziq takes more than 25 minutes to row back home.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook
ISBN: 9781108407304
1st Edition
Authors: Dean Chalmers, Julian Gilbey
Question Posted: