Acertain flight arrives on time 86 percent of the time. suppose 154 flights are randomly selected. use the normal approximation to the binomial to approximate the probability that (a) exactly 136 flights are on time. (b) at least 136 flights are on time. (c) fewer than 137 flights are on time. (d) between 137 and 146, inclusive are on time. (a) p(136)equals=nothing (round to four decimal places as needed.)

Step-by-step explanation:

Let X be no of flights that arrives on time 86 percent of the time. Suppose 154 flights are randomly selected

Mean = np and variance = npq

Hence X is N(132.44,4.31)

Without continuity correction if we do P(X=136) =0

with cont correction

a)P(x=136) =

b)P(atleast136)=

c)

d)

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: