Show Consider the following hypothetical situation. Grade data indicat4es that on the average 27% of the students in senior engineering classes have received A grades. From past data we have

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 Show Consider the following hypothetical situation. Grade data indicat4es that on the
average 27% of the students in senior engineering classes have received A grades. From
past data we have measured a standard deviation of 15%. We would like to model the
proportion X of A grades with a beta distribution.

a.  Please also provide the values of theparameters.
b. Use the distribution in (a) to find the probability that more than 32% of the
students had an A. 

Consider the following hypothetical situation. Grade data indicates that on
the average 27% of the students in senior engineering classes have received
A grades. There is variation among classes, however, and the proportion X
must be considered a random variable. From past data we have measured a
standard deviation of 15%. We would like to model the proportion X of A
grades with a Beta distribution.
(a) Find the density function of X.
(b) Find the probability that more than 50% of the students had an A.
Transcribed Image Text:Consider the following hypothetical situation. Grade data indicates that on the average 27% of the students in senior engineering classes have received A grades. There is variation among classes, however, and the proportion X must be considered a random variable. From past data we have measured a standard deviation of 15%. We would like to model the proportion X of A grades with a Beta distribution. (a) Find the density function of X. (b) Find the probability that more than 50% of the students had an A.
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