Next, suppose you draw two cards out of a deck of cards, keeping the rst card (so the second card draw occurs with the rst card not in the deck), and record the cards drawn. (4) Is the event the rst card is red" independent from the event the second card is black?" Why or why not? (5) Is the event the rst card is red" independent from the event the second card is red?" Why or why not? (6) Would you change your answers to (4) and (5) if the rst card was replaced and the deck shued before drawing the second?

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;