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The average number of pages in a novel is 326 with a standard deviation of 24 pages. If a sample of 50 novels is randomly chosen, what is the probability that the average number of pages in these books is between 319 and 331? 


Suppose you throw two fair dice. What is the probability of obtaining a 6 on each dice? Express your answer in 4 decimal places.


A sample of 91 circuits from a large normal population has a mean resistance of 2,4 ohms. If the population standard deviation is 1.5 ohms, determine a 95% confidence interval for the true mean resistance of the population. (Hint: critical value is 1.96)


Show that E(yn)=YN

The weekly wages of employees of Volta gold are normally distributed about a mean of$1,250 with a standard deviation of $120. Find the probability of an employee having a weekly wages lying between$1,320 and $970


The weekly wages of employees of Volta gold are normally distributed about a mean of$1,250 with a standard deviation of $120. Find the probability of an employee having a weekly wages lying between$1,320 and $970
4.5 The bag contained three black balls and four orange balls. Thabang picks out a ball, records its colour and then replaces it.
4.5.1 Calculate the probability that the two balls are of the same colour.
4.5.2 Calculate the probability that the two balls are different colours.
4.5.3 Calculate the probability of picking at least one orange ball.
4.2 Caiphus and Betty are both taking a statistics education examination independently.
The probability that Caiphus will pass is 3/4 and the probability that Betty will pass is 5/6

4.2.1 What is the probability that both will pass? 4.2.2 What is the probability that neither will pass?
4.1 Two dices are thrown and the product of the two numbers is recorded.
4.1.1 What is the probability that the product will be 5?
4.1.2 What is the probability that the product will be at most 6?
4.1.3 What is the probability that the product will be at least 7?
4.1.4 What is the probability that the product will be a square number?
2 x 4
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