Question

8. (4 points) In a supermarket 21% of the customers buy cleaning equipment. At the supermarket 25% of the time the cleaning equipment are on sale. Given that the cleaning equipment are on sale, 34% of the customers buy them. Given that a customer bought cleaning equipment, what is the probability that the cleaning equipment are on sale at the time? 0.3947619048 0.4747619048 0.3647619048 0.5447619048 0.4347619048 0.2947619048 0.4047619048 0.5747619048 9. (4 points) Suppose X is a continuous random variable whose probability density function is $f(x) = kx^3$; $0 < x < 8$. What is the mean value $\mu_X$? (Hint: First find the constant $k$.) $\frac{32}{9}$ $\frac{32}{7}$ $\frac{16}{5}$ $\frac{24}{5}$ $\frac{40}{3}$ $\frac{36}{7}$ $\frac{24}{7}$ $\frac{16}{9}$ 10. (4 points) A random committee of size 3 is selected from 4 doctors and 2 nurses. Let X be the random variable representing the number of doctors on the committee. What is the value of $P(2 \le X \le 3)$? $\frac{7}{10}$ $\frac{5}{6}$ $\frac{2}{3}$ $\frac{3}{5}$ $\frac{7}{12}$ $\frac{8}{15}$ $\frac{4}{5}$ $\frac{7}{9}$

          8. (4 points) In a supermarket 21% of the customers buy cleaning equipment. At the supermarket 25% of the time the cleaning equipment are on sale. Given that the cleaning equipment are on sale, 34% of the customers buy them. Given that a customer bought cleaning equipment, what is the probability that the cleaning equipment are on sale at the time?
0.3947619048
0.4747619048
0.3647619048
0.5447619048
0.4347619048
0.2947619048
0.4047619048
0.5747619048
9. (4 points) Suppose X is a continuous random variable whose probability density function is
$f(x) = kx^3$; $0 < x < 8$.
What is the mean value $\mu_X$? (Hint: First find the constant $k$.)
$\frac{32}{9}$ $\frac{32}{7}$ $\frac{16}{5}$ $\frac{24}{5}$ $\frac{40}{3}$ $\frac{36}{7}$ $\frac{24}{7}$ $\frac{16}{9}$
10. (4 points) A random committee of size 3 is selected from 4 doctors and 2 nurses. Let X be the random variable representing the number of doctors on the committee. What is the value of $P(2 \le X \le 3)$?
$\frac{7}{10}$ $\frac{5}{6}$ $\frac{2}{3}$ $\frac{3}{5}$ $\frac{7}{12}$ $\frac{8}{15}$ $\frac{4}{5}$ $\frac{7}{9}$

8. (4 points) In a supermarket 21% of the customers buy cleaning equipment. At the supermarket 25% of the time the cleaning equipment are on sale. Given that the cleaning equipment are on sale, 34% of the customers buy them. Given that a customer bought cleaning equipment, what is the probability that the cleaning equipment are on sale at the time?
0.3947619048
0.4747619048
0.3647619048
0.5447619048
0.4347619048
0.2947619048
0.4047619048
0.5747619048
9. (4 points) Suppose X is a continuous random variable whose probability density function is
f(x) = kx^3; 0 < x < 8.
What is the mean value ? (Hint: First find the constant k.)
(32)/(9) (32)/(7) (16)/(5) (24)/(5) (40)/(3) (36)/(7) (24)/(7) (16)/(9)
10. (4 points) A random committee of size 3 is selected from 4 doctors and 2 nurses. Let X be the random variable representing the number of doctors on the committee. What is the value of P(2 ≤ X ≤ 3)?
(7)/(10) (5)/(6) (2)/(3) (3)/(5) (7)/(12) (8)/(15) (4)/(5) (7)/(9)

Added by Jennifer S.

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