Let x = the time between two successive arrivals at the drive-up window of a local bank. if x has an exponential distribution with λ = 1, (which is identical to a standard gamma distribution with α = 1), compute the following. (if necessary, round your answer to three decimal places.) (a) the expected time between two successive arrivals (b) the standard deviation of the time between successive arrivals (c) p(x ≤ 1) (d) p(2 ≤ x ≤ 4)

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percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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