Let y be a random variable with p. d.f. ce-4y for y ≥ 0.

(a) determine c.

(b) what is the mean, variance, and squared coefficient of variation of y where the squared

coefficient of variation of y is defined to var(y )/(e[y ])2?

(c) compute pr{y < 5}.

(d) computepr{y > 5|y > 1}.

(e) what is the 0.7 quantile (or 70th percentile) where the 0.7 quantile is the point q such that pr{y > q} = 0.7?

The price of a dozen eggs was $1.63. suppose the price increases m dollars per dozen and then the price decreases $0.12 per dozen. which expression represents the current price of eggs after the two price changes?

When is g(x) = 0 for the function g(x) = 5.23x + 4?

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.