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TEA [102]
3 years ago
6

Help me with this problem please please:):)

Mathematics
1 answer:
Lady_Fox [76]3 years ago
6 0
I believe it is 12.5 :)
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suppose that the lifetime of a transistor is a gamma random variable x with mean of 24 weeks and standard deviation of 12 weeks.
emmainna [20.7K]

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma(\alpha ,\beta)

E(X)= \alpha \beta                 \beta= 12^{2}/24=6 weeks

V(x)= \alpha \beta ^{2}                \alpha=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, \alpha, \beta, False)

P(12\leq X\leq 24)

P(12/6\leq G\leq 24/6)

P(2\leq G\leq 4)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

4 0
1 year ago
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An item is regularly priced at $90 . leila bought it at a discount of 60% off the regular price. how much did leila pay?
forsale [732]
90(.4) = 36

Leila payed $36
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3 years ago
Evaluate the expression when y=-3<br><img src="https://tex.z-dn.net/?f=y%20%7B%7D%5E%7B2%7D%20%20%2B%205y%20-%204" id="TexFormul
Zielflug [23.3K]

(-3)^2+5(-3)-4

9-15-4

=-10

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3 years ago
Charlie ran 5 miles in 51.5 minutes. Use the equation 5r=51.5 to find r, the average rate he ran.
jenyasd209 [6]
5r = 51.5
r = 51.5 / 5
r = 10.3
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3 years ago
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To calculate the area of a rectangle we multiply length by width the length of this rectangle below is 9 inches and the area is
charle [14.2K]

Answer:

547

Step-by-step explanation:

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3 years ago
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