1. (a) For each of the following, indicate if the value is a legitimate probability? [2 marks] i. 1.80 11. 0.00 (b) Brie

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1 A For Each Of The Following Indicate If The Value Is A Legitimate Probability 2 Marks I 1 80 11 0 00 B Brie 1 (52.12 KiB) Viewed 76 times

1. (a) For each of the following, indicate if the value is a legitimate probability? [2 marks] i. 1.80 11. 0.00 (b) Briefly explain your reasoning for parts a (i) and (ii) above. [1 mark] 2. After playing a game, you suspect the 20-sided die you have been using is unfair. You decide to run a Chi-squared goodness of fit test on the die. (a) Find the degrees of freedom for this test, considering the die used. [1 mark) (b) Given a significance level of 0.05, select the appropriate Excel function that will return the Chi-squared critical value. [1 mark] (a) =CHIINV(0.01, 19) (d) -CHIINV10.01, 19) (b) =CHIINV(0.05, 20) (e) =CHIINV(0.1,20) (c) ECHIINV(0.05, 21) () =CHIINV(0.05, 19) (c) After making observations from 100 rolls of the die, a Chi-squared test statistic can be calculated. Which of the following formula is most appropriate here? [1 mark] Formula 1: Formula 2: Formula 3: (x - 1) s=1 x = (0-0) x=(-e) N n-1 3. Heights of women in a village are normally distributed, with a mean height of 162 cm and a standard deviation of 8 cm. Use the Empirical rule to solve the following. (a) What percentage of women are below 154 cm tall? [2 marks] (b) If 2890 women live in the village, how many women are below 154 cm tall? [2 marks]