STT102 Past Questions

STT102

Given the sets 2, 5, 8,11,14 find the standard deviation
Answer: 20.25

Determine the probability exactly two tails appear in two tosses of a fair coin
Answer: \\(\\frac{1}{4}\\)

Find the area under the standard normal curve that lies the left of 1.32
Answer: 0.9066

A ball is drawn at random from a box containing 5 blue balls, 3 green balls, and 2 black balls. Determine the probability that the ball drawn is black.
Answer: \\(\\frac{1}{5}\\)

Three balls are drawn successively from the box containing 6 red balls, 4 white balls, and 5 blue balls. Find the probability that they are drawn in the order red, white, and blue if each ball is replaced
Answer: \\(\\frac{8}{225}\\)

Final examination in mathematics, the mean was 72 and the standard deviation was 15. Determine the standard score of students receiving the grades 60
Answer: -0.8

The probability of an event not occurring is
Answer: \\(0\\)

Find the area under the standard normal curve to the right of \(-1.28\)
Answer: 0.8997

Consider a hypothesis where \(H_{0}\) where \({\\phi}_{0}\\ =\\ 74\) against \(H_{1}\) where \({\\phi}_{1}\\ WneqW 74\). The test is?
Answer: two tailed

Determine the probability an odd number appearing in single toss of a fair die
Answer: \\(\\frac{1}{2}\\)

Determine the probability an odd number appearing in single toss of a fair die
Answer: \\(\\frac{1}{2}\\)

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