UNTIL QUESTION 3

\\_/\\ Q Dene tomorrow. U N I SI \\ Sili'am Assignment O3 ASSIGNMENT 03 Unique Nr.: 604351 Fixed closing date: 20 JULY 2022 Question 1 [1] If P(A) = 0.57, P(B) = 0.48 and PM and B) = 0.30. what is the value of P(A|B)? Is it the same as P(B|A)? Justify your answer. (7) Question 2 [10] A box contains 30 balls of the same size of which 10 are blue. 7 are white, 8 are orange and 5 are black. 2.1 If you randomly select 4 balls without replacement from the box. what is the probability of getting all four colours in order of white, black, blue and orange? (5) 2.2 If you randomly select 3 balls with replacement from the box, what is the probability of select- ing one orange, one blue and one black ball from the box? (5) Question 3 [13] In a survey of companies listed in the Johannesburg stock exchange. it was found that 94 were in the nancial sector, 105 were in the mining sector, 110 were in the agriculture sector, 100 were in the IT sector and 98 were in the service sector. 3.1 Show the data as a percentage frequency table. (5) 3.2 If a company is selected at random, what is the probability that this company is not in the nancial sector? (3) 3.3 What is the probability that a randomly selected company is either in agriculture sector or an IT company? (5) 2 STA1 505/01 31012022 Question 4 [14] The following contingency table gives the results of a sample survey of South African male and female respondent regarding their preferred grocery shop. l PREFERED GROCERY SHOP |