Assume that the probability a child is a girl is 0.53 and that the sexes of children born into a family are independent.What is the probability that a family of five (5) children hasall children of the same sex?

If a student does not study at all for the COMP2201 Mid-term examination, the probability of passing the examination is 2%.If a student studies lightly the probability of passing is 9%.If one studies at an average level, the probability of passing the examination is 52% whereas if study is done intensely, the probability of passing the COMP2201 Mid-term examination is 91%.The course lecturer is sure that 15% of the students study intensely, 35% of them study at an average level, 45% of them study lightly and 5% do not study at all.

LetI- Study Intensely,A - Study at an Average Level,L - Study Lightly, N - Study None at all

Which of the following is true?

Select one:

a. P(U|L) = 0.09

b. P(A|U) = 0.52

c. P(N|U) = 0.02

d. P(U|I) = 0.15

e. P(U|A) = 0.35

Assuming that Row-0, Column-0 of theMultiplication Table inZ₅contains thesign, what is the value at Row-3, Column-5?

A random experiment consists of rolling an unfair, six-sided die. The number 6 is three times as likely to appear as the numbers 2 and 4. The number 2 is two times as likely to appear as the number 1. The number 4 is three times as likely to appear as the numbers 3 and 5

Assign probabilities to the outcome numbers 2 and 6 in the sample space.

Use the inclusion-exclusion to calculate the number of bit strings of length 9 that begin with two 0s, have eight consecutive 0s, or end with a 1 bit.

Assuming that any five letters of the English alphabet could be used to form a word,

What is the probability that a randomly chosen five-letter word would have at least one repeated letter?