Question

A company has discovered that a recent batch of batteries had manufacturing flaws, and has issued a recall. In a group of 20 batteries covered by the recall, 5 are dead. Two batteries at random are chosen from the package of 20. a) Has the assumption of independence been met? Explain. b) Create a probability model for the number of good batteries chosen. c) What's the expected number of good batteries? d) What's the standard deviation? a) Choose the correct answer below. A. Yes, because the outcome for the first battery affects the probability that the second battery is dead. B. Yes; because the batteries are chosen at the same time, the outcome for one battery cannot affect the probability that the other battery is dead. C. No, because the outcome for the first battery affects the probability that the second battery is dead. D. No; because the batteries are chosen at the same time, the outcome for one battery cannot affect the probability that the other battery is dead. b) Create a probability model. x (Number good) P(X= x) 0 1 2 (Round to three decimal places as needed.) c) The expected number of good batteries is (Round to two decimal places as needed.) d) The standard deviation is (Round to two decimal places as needed.)

          A company has discovered that a recent batch of batteries had manufacturing flaws, and has issued a recall. In a
group of 20 batteries covered by the recall, 5 are dead. Two batteries at random are chosen from the package of 20.
a) Has the assumption of independence been met? Explain.
b) Create a probability model for the number of good batteries chosen.
c) What's the expected number of good batteries?
d) What's the standard deviation?
a) Choose the correct answer below.
A. Yes, because the outcome for the first battery affects the probability that the second battery is dead.
B. Yes; because the batteries are chosen at the same time, the outcome for one battery cannot affect the
probability that the other battery is dead.
C. No, because the outcome for the first battery affects the probability that the second battery is dead.
D. No; because the batteries are chosen at the same time, the outcome for one battery cannot affect the
probability that the other battery is dead.
b) Create a probability model.
x (Number good) P(X= x)
0
1
2
(Round to three decimal places as needed.)
c) The expected number of good batteries is 
(Round to two decimal places as needed.)
d) The standard deviation is 
(Round to two decimal places as needed.)

A company has discovered that a recent batch of batteries had manufacturing flaws, and has issued a recall. In a
group of 20 batteries covered by the recall, 5 are dead. Two batteries at random are chosen from the package of 20.
a) Has the assumption of independence been met? Explain.
b) Create a probability model for the number of good batteries chosen.
c) What's the expected number of good batteries?
d) What's the standard deviation?
a) Choose the correct answer below.
A. Yes, because the outcome for the first battery affects the probability that the second battery is dead.
B. Yes; because the batteries are chosen at the same time, the outcome for one battery cannot affect the
probability that the other battery is dead.
C. No, because the outcome for the first battery affects the probability that the second battery is dead.
D. No; because the batteries are chosen at the same time, the outcome for one battery cannot affect the
probability that the other battery is dead.
b) Create a probability model.
x (Number good) P(X= x)
0
1
2
(Round to three decimal places as needed.)
c) The expected number of good batteries is
(Round to two decimal places as needed.)
d) The standard deviation is
(Round to two decimal places as needed.)

Added by Ines R.

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