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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()
E(X)=
=
=6 weeks
V(x)=
=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X, ,
, False)
P()
P()
P()
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
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Answer
Find out the how many games did the teams lose .
To prove
Formula
As given
Salem High School's winter sports teams WON 72% of their games last season.
If the teams played 50 games .
Percentage = 72%
Total value = 50
Put in the formula
Number of games win = 36
Number of games teams loses = Total number of games - number of games win
= 50 - 36
= 14
Therefore the number of games team loses are 14 .