Say, that A and B are two mutually exclusive events such that P(A) = 0.57 and P(B) = 0.36. What is the value of P(A and B)? Answer:Below is a contingency table summarising smartphone banking usage by gender, based on a survey count of these categorical variables. r'r'es' represents those using smartphone banking. Uses Smartphone Banking? Gender Yes No Total Female \"ID 1i 2 i Male 22 8 30 Total 32 i9 5f Determine the probability that a respondent to the survey is male or uses smartphone banking. Give your answer as a decimal correctly rounded to two decimal places (NOT AS A PERCENTAGE). Answer: You are told thatthe distribution of weights of extra-large air fryers, X kilograms. is normal, with a mean, u. of 1 i .72 kilograms and a standard deviation. 0. of 2.56 kilograms. What is the Z score for an x value of13.13 kilograms? Please give your answer correctly rounded to two decimal places. Answer: An analyst claimed that 75% of students use a laptop in class. A sample of 35 students is selected randomly on campus. They were asked if they use a laptop in class to take notes. The results of the survey are that 22 of the 35 students responded "yes". What is the sample proportion, p, of students using a laptop in class? Give your answer as a decimal correctly rounded to two decimal places (NOT AS A PERCENTAGE). Answer:The senior management of a renowned electricity provider want to estimate the mean time it takes for customers to get an electrical fault resolved. The provider took a random sample of 64 customers who had recently reported an electrical fault and found a mean time of 6.97 hours. Assume the population standard deviation is 0.58 hours. What is the value of the margin of error for a 95% confidence interval? Please give your answer correctly rounded to two decimal places and do NOT give units. Answer:Excel was used to investigate the relationship between the weekly rent (5) of single bedroom apartments and their distance (km) from the city centre in a major Australian city. The regression equation from this analysis is stated below: \\?= 320.15 41.77x What would be the estimated rent of a single bedroom apartment 5km from the city centre? Please give your answer correctly rounded to two decimal places and do NOT give units. Answer: An Excel simple linear regression output contained the following information, Multiple R 0.8 R Square 0.64 Do 3.2 -1.9 Determine the value of the correlation coefficient. Answer:If X = 77, 0=4 and n=83, give the lower confidence limit and the upper confidence limit, for a 99% confidence interval to estimate the population mean . Please give your answer correctly rounded to two decimal places. Your lower confidence limit answer: Your upper confidence limit