In 1950, scientist estimated a certain animal population in a particular geographical area to be 6400 in 2000, the population ha
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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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From the problem we know that Hanna saves one-half of her paycheck each week, so she saves 
. Also, we know that her parents put $50 in her savings account each week, so the total amount she and her parents put in her saving's account is 
.
Since we know that Hanna currently has <span>$1,280 in her saving's account and each week she and her parents deposit $130 to the account, with </span>
representing the number of weeks, we can model the situation as follows:
Since we know that Hanna currently has <span>$1,280 in her saving's account and each week she and her parents deposit $130 to the account, with </span>