Answer:
Step-by-step explanation:
Given that 34% of U.S. adults say they are more likely to make purchases during a sales tax holiday.
You randomly select 10 adults.
Let X be the no of adults in the selection of 10 who say they are more likely to make purchases during a sales tax holiday.
Each person is independent of the other and also there are two outcomes
Hence X is binomial with n =10 and p = 0.34
q = 0.66
P(X=r) [tex]=10Cr (0.34)^r(0.68)^{10-r}[/tex]
The probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is
(a) exactly two,
=[tex]P(X=2)\\= 0.1873[/tex]
(b) more than two,
=[tex]P(X>2)\\= 1-F(2)\\=1-0.2838\\= 0.7162[/tex]
(c) between two and five, inclusive.
=[tex]P(2\leq x\leq 5)\\= F(5)-F(1)\\=0.9164-0.0965\\=0.8199[/tex]
