A recent survey of post-secondary education students in Canada revealed that 76% are confident in their ability to manage their finances. You are to randomly pick 30 post-secondary education students across the country, and ask each the following question: Are you confident in your ability to manage your finances? You have defined the random variable X to represent the number, out of 30 post-secondary students chosen, who respond YES. (a) What is the probability that 22 of these post-secondary students respond YES? P(X=22)= _________(use four decimals in your answer) (b) What is the probability that between 14 and 20 of these students will respond YES? P(14≤X≤20)=_________(use four decimals in your answer) (c) How many of the 30 post-secondary students would you expect to respond YES? Find the standard deviation as well. E(X)=μX=_________(use two decimals in your answer) SD(X)=σX=_________ (use two decimals in your answer)
A recent survey of post-secondary education students in Canada revealed that 76% are confident in their ability to manage their finances.
You are to randomly pick 30 post-secondary education students across the country, and ask each the following question:
You have defined the random variable X to represent the number, out of 30 post-secondary students chosen, who respond YES.
(a) What is the probability that 22 of these post-secondary students respond YES?
P(X=22)= _________(use four decimals in your answer)
(b) What is the probability that between 14 and 20 of these students will respond YES?
P(14≤X≤20)=_________(use four decimals in your answer)
(c) How many of the 30 post-secondary students would you expect to respond YES? Find the standard deviation as well.
E(X)=μX=_________(use two decimals in your answer)
SD(X)=σX=_________ (use two decimals in your answer)
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