A=9, b = 10, c =11.4, 2C = ___
2 answers:
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Answer:
(a) The probability of exactly 2 defective PS4s among them is 0.3125.
(b) The probability that exactly 2 are defective given that at least 2 purchased PS4s are defective is 0.3846.
Step-by-step explanation:
Let <em>X</em> = number of defective PS4s.
It is provided that 4 PS4s of 8 are defective.
The probability of selecting a defective PS4 is:
A customer bought <em>n</em> = 5 PS4s.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.50.
The probability function of a Binomial distribution is:
(a)
Compute the probability of exactly 2 defective PS4s among them as follows:
Thus, the probability of exactly 2 defective PS4s among them is 0.3125.
(b)
Compute the probability that exactly 2 are defective given that at least 2 purchased PS4s are defective as follows:
The value of P (X = 2) is 0.3125.
The value of P (X ≥ 2) is:
Then the value of P (X = 2 | X ≥ 2) is:
Thus, the probability that exactly 2 are defective given that at least 2 purchased PS4s are defective is 0.3846.
Check the picture below.
now, we're assuming "to the building" means "to the ground", since we don't know the building's height, so we're also assuming the 1200m is above the building, as you see in the picture.
make sure your calculator is in Degree mode.
