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kogti [31]
2 years ago
6

A density graph for all of the possible times from 50 seconds to 300 seconds

Mathematics
1 answer:
vazorg [7]2 years ago
8 0

Answer: D. The probability of a time from 75 seconds to 250 seconds.

Step-by-step explanation:

We know that a density curve graph for all of the possible values  from a  to b can be used to find the the probability of the values from a to b .

Given: A density graph for all of the possible times from 50 seconds to 300 seconds.

Then it can be used to find the the probability of a time in the range from 50 seconds to 300 seconds.

From all the given option only option D gives the interval which is lies in the above range.

i.e A density graph for all of the possible times from 50 seconds to 300 seconds can be used to determine the probability of a time from 75 seconds to 250 seconds.

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3 years ago
Among 8 PS4s, four are good and four have defects. Unaware of this, a customer buys 5 PS4s.
astraxan [27]

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:

P(X)=p=\frac{4}{8}=0.50

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:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, 3...

(a)

Compute the probability of exactly 2 defective PS4s among them as follows:

P(X=2)={5\choose 2}(0.50)^{2}(1-0.50)^{5-2}=10\times0.25\times0.125=0.3125

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:

P(X=2|X\geq 2)=\frac{P(X=2\cap X\geq2)}{P(X\geq2)} =\frac{P(X=2)}{P(X\geq 2)}

The value of P (X = 2) is 0.3125.

The value of P (X ≥ 2) is:

P(X\geq 2)=1-P(X

Then the value of P (X = 2 | X ≥ 2) is:

P(X=2|X\geq 2)=\frac{P(X=2)}{P(X\geq 2)}=\frac{0.3125}{0.8125} =0.3846

Thus, the probability that exactly ​ 2 are defective given that  ​at least ​ 2 purchased PS4s are defective is 0.3846.

6 0
3 years ago
Read 2 more answers
What is the answer for 0.3(3-0.5)
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My answer for you was 0.75 because i calculated

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