MATH SOLVE

4 months ago

Q:
# The time it takes Jessica to bicycle to school is normally distributed with mean 15 minutes and variance 4. Jessica has to be at school at 8:00 am. Suppose you saw her at class, and she said it took her 23 minutes to get to school that day. Which of the following is a reasonable inference or conclusion?a. Twenty-three minutes to school is not an unusually long commute time.b. A commuting time of 23 minutes is highly unusual or atypical.c. The distribution of commute times MAY NOT be normal with mean 15 minutes and standard deviation 2 minutes.d. Both (b) and (c) are feasible conclusions.e. Both (a) and (c) are feasible conclusions.

Accepted Solution

A:

Answer:d. Both (b) and (c) are feasible conclusionsStep-by-step explanation:Given that the time it takes Jessica to bicycle to school is normally distributed with mean 15 minutes and variance 4.i.e. X the time it takes for Jessica to reach school is N(15,2)One day Jessica said it took 23 minutes to get to schooli.e. 4 std deviations above the mean time it tookthe prob for this is almost 0 which is very unusual.Either the distribution is not symmetric as mentioned normal or the time is unusualHence correct option woul dbeb. A commuting time of 23 minutes is highly unusual or atypical. and c. The distribution of commute times MAY NOT be normal with mean 15 minutes and standard deviation 2 minutesSo both b and c are feasible conclusions