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STA1010 - Statistical methods for science - S2 2025
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A computer salesman averages 1.5 sales per week. Use the Poisson distribution to find the probability that in a randomly selected week the number of computers sold is 1.
A company found that at the end of each month, 2% of its one million data entries, contained errors. Today, one operator has made 49 computer entries. Calculate the probability that at most two (2) errors were made by this operator.
[Hint: zero, one and 2 errors are possibilities.]
State your answer correct to three(3) decimal places only.
Consider a lottery game in which you buy a ticket and you may or may not get a money prize in return. Suppose that for X = net amount won or lost in a lottery game, the expected value is E(X) = -$0.50. Which of the following statements is the most correct interpretation of this expected value?
A full time 1st year student at university takes 4 units per semester. The probability distribution function for the number of units in which you will achieve a grade of distinction (D) is :
x = number of grades at D | 0 | 1 | 2 | 3 | 4 |
P(X = x) | 0.10 | 0.39 | 0.31 | 0.15 | 0.05 |
What is the probability that such a student gets at LEAST 2 distinctions?
State your answer to two(2) decimal places only.
The probability distribution for:
X = number of heads obtained in 5 tosses of a fair coin, is:
X | 0 | 1 | 2 | 3 | 4 | 5 |
P(X=x) | 1/32 | 5/32 | 10/32 | 10/32 | 5/32 | 1/32 |
What is the probability of obtaining at least 4 heads?