For a school fundraising project Aiden and Jacob collected money in the ratio 3.5 to 6.8 Jacob up collected $115.50 more than Ai
1 answer:
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Answer:
Step-by-step explanation:
Given that a fisherman catches fish according to a Poisson process with rate lambda = 0.6 per hour.
The fisherman will keep fishing for two hours.
Since he continues till he gets atleast one fish, we can calculate probability as follows:
(a) Find the probability that he stays for more than two hours.
= Prob (x=0) in I two hours and P(X≥1) in 3rd hour
=P(x=0)*P(X=0)*P(X≥1) (since each hour is independent of the other)
=
(b) Find the probability that the total time he spends fishing is between two and five hours.
Prob that he does not get fish in I two hours * prob he gets fish between 3 and 5 hours
=
(c) Find the expected number offish that he catches.
Expected value in Geometric distribution = , where p = prob of getting 1 fish in one hour
=
(d) Find the expected total fishing time, given that he has been fishing for four hours.
= Expected fishing time total/expected fishing time for 4 hours
=3/0.6*4
= 1.25 hours
Answer:
a. 0.71
b. 0.9863
Step-by-step explanation:
a. From the histogram, the relative frequency of houses with a value less than 500,000 is 0.34 and 0.37
-#The probability can therefore be calculated as:
Hence, the probability of the house value being less than 500,000 is o.71
b.
-From the info provided, we calculate the mean=403 and the standard deviation is 278 The probability that the mean value of a sample of n=40 is less than 500000 can be calculated as below:
Hence, the probability that the mean value of 40 randomly selected houses is less than 500,000 is 0.9863