Question 6: A uniformly distributed random variable has minimum and maximum values of 25 and 65, respectively. Determine P(30

Question 6: A uniformly random variable has minimum and maximum values Of 25 and 65, respectively. Determine P(30 < X s: 40). The annual rate Of return on a mutual fund is normally distributed With a mean Of and a standard Of 15%. What the probability that the fund loses money next year? Question 8 Refer to question 7 What the probability that the fund returns more than 25% next year? The debt-to-income ratio is an important eccmomic indicator. A large ratio may indicate that a particular household's debt is unsustainable. Assume that this ratio is normally distributed With a mean and standard deviation Of I .2 and .4, respectively. Determine the goth percentile. 5% and sample size Find the right hand-side value Of t frorn a t distribution With a 21 _ (note, you'll need to find the degree Of freedom n-1) 1% and sample size is 16. Find the left hand-side value Of t from a t distributicm With a (note, you'll need to find the degree Of freedom n-1 )