Acivil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. long-term history indicates that there has been an average of accidents per day on this section of the interstate. let be a random variable that represents number of accidents per day. let represent the number of observed accidents per day based on local highway patrol reports. a random sample of days gave the following information.
r 0 1 2 3 4 or more
o 19 23 16 18 14
(a) the civil engineer wants to use a poisson distribution to represent the probability of r, the number of accidents per day. the poisson distribution is given below. p(r) = (e^−λ) λ^r/r!
here λ = 1.79 is the average number of accidents per day. compute p(r) for r = 0, 1, 2, 3, and 4 or more. (round your answers to three decimal places.)
b) compute the expected number of accidents e = 90p(r) for r = 0, 1, 2, 3, and 4 or more. (round your answers to two decimal places.)
(c) compute the sample statistic χ2 = σ((o – e)2/e) and the degrees of freedom. (round your sample statistic to three decimal places.)

whole number data type

step-by-step explanation:

as whole number type represents whole number

like 1, 2 ,3, 4

in other words the whole numbers are those numbers which cannot be written infraction.

since we can take days as a whole number i.e 1 day 2 day and we cannot write 1.2 day hence we will use whole number data type

6 adults and 9 children went.

a + c = 15

12a + 9c = 153

12(6) + 9(9) = 153

72 + 81 = 153

the given growth  function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where 

m = months

at the end of the study, the length is 9.19 cm. the  time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period  of about 1.72 months. therefore  the domain for  plotting the function is 0 < = m < = 1.72.

note:

if growth  continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.

answer is  

d.

a circle

i got it down for you chief.