Answer to Question #76755 in Statistics and Probability for shehzaad

Question

A shoe factory in Umlazi in the district of Durban shows that 30% of customers use a credit card to make payment. On a particular morning, 7 customers purchase shoes from the store. Determine the probability that;
4.2.1 3 customers will pay by credit card. (4 marks)
4.2.2 At least one will pay by credit card. (4 marks)
4
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4.3 The time it takes a randomly selected job applicant to perform a certain task is normally distributed with a mean value of 120 seconds and a standard deviation of 20 seconds. Determine the probability that a randomly selected candidate will complete the task;
4.3.1 between 100 and 130 seconds. (3 marks)
4.3.2 between 75 and 100 seconds. (3 marks)
4.3.3 within 75 seconds. (2 marks)