Suppose there is a pile of quarters dimes and pennies with a total value of $1.07 how much of each coin can be present without b
eing able to make change for a dollar? Of there are multiple selections of the coins that will work choose the selection with the largest total numbers of coins.
Given : A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige.
i.e. The sample size of U.S. adults : n= 1010
The number of U.S. adults consider the occupation of firefighter to have very great prestige : x= 627
Now , the probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige will be :
[ To the nearest hundredth]
Hence, the estimated probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige = 0.62
a) because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
b) because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
