4. in problem 2, you were told that the durations of high school baseball games are approximately normally distributed with a mean of 105 minutes and a standard deviation of 11 minutes.
suppose also that the durations of high school softball games are approximately normally distributed with a mean of 95 minutes and the same standard deviation, 11 minutes. is it more
likely that a high school baseball game will last between 100 and 110 minutes or that a high school softball game will last between 100 and 110 minutes? answer this question without
doing any calculations.

It is more  likely that a high school baseball game will last between 100 and 110 minutes or that a high school softball game will last between 100 and 110 minutes

Step-by-step explanation:

We are given the following information in the question:

Basket ball game:

Mean, μ = 105 minutes

Standard Deviation, σ = 11 minutes

Softball game:

Mean, μ = 95 minutes

Standard Deviation, σ = 11 minutes

We are given that the distribution of durations of high school baseball games is a bell shaped distribution that is a normal distribution.

Formula:

P(basketball game will last between 100 and 110 minutes)

P(softball game will last between 100 and 110 minutes)

Since,

P(basketball game) > P(softball game)

It is more  likely that a high school baseball game will last between 100 and 110 minutes or that a high school softball game will last between 100 and 110 minutes

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: