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A man has three routes from his home and he is equally likely in choosing these three ways.the chance that he will miss the train on choosing these three ways are respectively .25,.3,.35.one day he missed train find the probability that he had chosen the first route

The ages of SHS students enrolled at ISNHS are normally distributed with a mean

of 17 years and a standard deviation of 2.5 years. If a student is selected at

random, what is the probability that his age is under 16 years?



The Coronavirus disease has led to many deaths globally. In Gauteng, the number of deaths per week increases by 9.2% every week. Suppose this trend does not change and 82 deaths have been recorded this week. Determine the number of deaths that: a) were recorded 4 weeks ago b) will be recorded in 3 weeks’ time c) will be recorded in 6 weeks’ time


Four coins are tossed, Let H represent the head and T represent the tail. Let Y be the random variable representing the number of tails that occur. List all the possible outcomes and the corresponding values of the random variable Y

Four coin are tossed, let Z be the random variable representing the number of heads that turn up.find the value s of the random variable Z.

The probabilities of machine manufacturing 0,1,2,3,4 and 5 defective parts in one day are 0.75,0.17,0.04,0.025,0.01 and 0.05 respectively. Find the mean of the probability Distribution

If the two coins are tossed which is not a possible value of the random variable for the number of tails

If the probability density function of a random variable X is given by 

𝑓(𝑥) = {2𝑘𝑥𝑒

𝑥2

, 𝑥 > 0

0,

𝑥


Determine (i)k (ii)distribution function.


A meeting of envoys was attended by 4 Koreans and 4 Filipinos. If three envoys were selected at random one after the other, determine the values of the random variable K representing the number of Koreans.

Two coins are tossed. Let H be the number of tails that occur.Determine the values of the random variable H.

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