Kindly solve all questions please

Name: 1. (15 points) Calculations under common probability distributions. Include one or two calculation steps such that you may still get the points even if the final numbers are wrong. (a) (5 points) Suppose that we have a biased coin with the probability of heads being 0.6. What is the odds ratio for heads? (b) (5 points) Suppose that the number of cars passing by an intersection is 3 every 10 minutes. What is the probability of observing no more than 2 cars in ten minutes? (c) (5 points) Suppose that the highest daily temperature in September follows a normal distribution with mean 70 and standard deviation 5. What is the 95 quantile (i.c. 95th percentile - the value with an upper-tail probability of 0.05)? 2. (15 points) (a) (10 points) Fill in the following table with type I error and type II error. Decision Do not reject Ho Reject No Ho true Ha trueQuestion 26 If the probability of a student taking a calculus class is 0.10, the probability of taking a statistics class is 0.90, and the probability of taking a calculus class and a statistics class is 0.07, what is the probability of a student taking a calculus class or a statistics class? Provide your answer below:according to the "Koch" poll roughly 93% of students like to take Statistics!! If 8 students are polled find the following (round answers to 6 decimal places if needed): (p.s. the graph in the back will not help you ) a) Find the probability exactly 6 students like statistics. b) Find the probability more than 6 students like statistics. c) Find the probability no more than 2 students like statistics. d) Find the probability at least one student likes statistics.D Question 4 1 pts Find the indicated complement. The probability that Luis will pass his statistics test is 0.67. Find the probability that he will fail his statistics test. Q 2.03 1.49 0 0.34 0.33