Question

3.(B) A committee composed of the four most senior engineers of Antarctica Hydro Mr. Allyson, Mrs. Caballero, Mr. Ethnarch and Mrs. Gamelle \textendash{} was formed to make an important decision on the construction site of a new power station. Assume that each member reaches a decision independently of the others. Assume also that the probability that Mr. Allyson, Mrs. Caballero, Mr. Ethnarch and Mrs. Gamelle are in favour of the construction site under consideration is 0.40, 0.80, 0.6 and 0.9 respectively. If $X$ denotes the number of committee members who are in favour of the construction site under consideration find (a) the probability distribution of $X$; and (b) the mean and variance of the probability distribution of $X$.

          3.(B) A committee composed of the four most senior engineers of Antarctica Hydro
Mr. Allyson, Mrs. Caballero, Mr. Ethnarch and Mrs. Gamelle \textendash{} was formed to make
an important decision on the construction site of a new power station. Assume that each
member reaches a decision independently of the others. Assume also that the probability
that Mr. Allyson, Mrs. Caballero, Mr. Ethnarch and Mrs. Gamelle are in favour of the
construction site under consideration is 0.40, 0.80, 0.6 and 0.9 respectively. If $X$ denotes
the number of committee members who are in favour of the construction site under
consideration find
(a) the probability distribution of $X$; and
(b) the mean and variance of the probability distribution of $X$.

3.(B) A committee composed of the four most senior engineers of Antarctica Hydro
Mr. Allyson, Mrs. Caballero, Mr. Ethnarch and Mrs. Gamelle – was formed to make
an important decision on the construction site of a new power station. Assume that each
member reaches a decision independently of the others. Assume also that the probability
that Mr. Allyson, Mrs. Caballero, Mr. Ethnarch and Mrs. Gamelle are in favour of the
construction site under consideration is 0.40, 0.80, 0.6 and 0.9 respectively. If X denotes
the number of committee members who are in favour of the construction site under
consideration find
(a) the probability distribution of X; and
(b) the mean and variance of the probability distribution of X.

Added by Cathy L.

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