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alexandr1967 [171]
2 years ago
5

An airline estimates that 90% of people booked on their flight actually show up. If the airline books 71 people on a flight for

which the maximum number is 69, what is the probability that the number for people who show up will exceed the capacity of the plane?
Mathematics
1 answer:
OLEGan [10]2 years ago
3 0

Answer:

The probability is 0.0144

Step-by-step explanation:

The probability that x people show up follows a binomial distribution, so it is equal to:

Where n is the number of booked people and p is the probability that a person shows up. Then, the probability that x people show up is:

So, the probability that the number of people who show up will exceed the capacity of the plane is:

P(x>73) = P(74) + P(75)

Where P(74) and P(75) are calculated as:

Finally, P(x>73) is:

P(x>73) = 0.0125 + 0.0019 = 0.0144

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jeyben [28]

Answer:

The answer is 9

Step-by-step explanation:

3 times 6 is 18 so 2x+18=36 then 36-18 is 18 and 18 divided by 2 is 9

5 0
3 years ago
Read 2 more answers
Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w
ioda

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

                 Investment = $ 8000

               No. of years = 15 years

             Interest rate, i = 3.1 %

                 ( compounded monthly )  

Step:1

          For for calculating future value with compound interest monthly,

                                     A = P (1 +\frac{r}{n})^{nt}.................(1)

         Where,

                     A = Future amount

                     P = Initial investment

                     r = Rate of interest

                    n = Number of compounding in a year

                     t = Time period

Step:2

           From given values,

                           P = $8000

                            r =  3.1%

                            t = 15 years

                            n = 12 ( for monthly)

           Equation (1) becomes,

                          A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}

                              = 8000 (1+0.002583)^{180}

                              = 8000(1.002583)^{180}

                              = 8000(1.591059)

                              =12728.48

                           A = $ 12728.48

Result:

           Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

                             

       

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Step-by-step explanation:

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