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A fair spinner has 9 equal sections: 3 red, 2 blue and 4 green.
It is spun twice.
What is the probability of not getting two consecutive blues?
A survey of 1000 men ages 20 to 30 found that their heights were normally distributed, with a mean of 65 inches and a standard deviation of 2.5 inches. How many men have a height that is within 1 standard deviation of the mean?
find the probabilities that among 20 such lights
(a). exactly 18 will have a useful life of at least 800 hours;
(b). exactly 15 will have a useful life of at least 800 hours;
(c). at least 2 will not have a useful life of at least 800 hours;
- If π~π‘(π) , then πΈ[π] = 0 if π > 1 and πππ[π] = π πβ2 if k >2
- If X is an F β distributed random variable with m and n degrees of freedom, then πππ[π] = (2π^2(π+πβ2))/(π(πβ2)^2(πβ4)).
- If X has a chi-square distribution, then ππ(π‘) = [ (1/2)/((1/ 2)βπ‘ )] ^(π/2) = [ (1)/(1β2π‘) ] ^(π/2) , t < Β½.
a large population consist of equal numbers of the digits 1 and 3. (a) Find the mean and variance of this population (b) Find the probability distribution of the mean of samples size three taken from this population and verify that this mean mean is equal to the population mean and its variance is equal to one-third of theΒ population variance
Let A and B be events such that P(A) = 0.6, P(A Γ B) = 0.8 and P(A | B) = 0.6.
Find P(B).
Suppose a production facility purchases a particular component part in large lots from a
supplier. The production manager wants to estimate the proportion of defective parts
received from this supplier. She believes the proportion defective is no more than .20 and
wants to be within .02 of the true proportion of defective parts with a 90% level of
confidence. How large a sample should she take?
#339914 on Dec 2023