I would like some assistance with the following statistics questions

The format of the Mid-semester examination 1 for ECON1005 was 20 multiple choice questions, each having 4 possible answers. For each correct answer one point is awarded. Melissa did not prepare for this exam and so for each question she independently guesses the answer. What is the probability that Melissa correctly answers 5 questions? Select one: O a. 0.2352 O b. 0.2023 O c. 0.2539 O d. 0.2339The time taken for junior university athletes to run the 400m dash is normally distributed with mean 55s and standard deviation 1.2504s. What is the probability that an athlete runs less than 52s? Select one: O a. 0.0082 O b. 0.9227 O c. 0.9918 O d. 0.0773Amanda has just passed the CFA Level 1 exam. The probability that she will now receive a job offer is 0.8766. The probability of Amanda passing the CFA Level 1 exam and receiving a job offer is 0.5553. What is the probability of passing the CFA Level 1 exam? Select one: O a. 0.4447 O b. 0.1234 O c. 0.3213 O d. 0.6335The format of the Mid-semester examination 1 for ECON1005 was 25 multiple choice questions, each having 4 possible answers. For each correct answer one point is awarded. Melissa did not prepare for this exam and so for each question she independently guesses the answer. What is the expected number of correct answers? Select one: O a. 6.25 O b. 4.69 O c. 2.17 O d. 8.75What is the Z-score that corresponds to the given area under the standard normal curve below? 0.0475 0 Select one: O a. 0.45 O b. 1.67 O C. 1.55 O d. 1.28The following table shows the probability distribution for the number of vehicular accidents each day in Jamaica. What is the expected number of accidents? X 0 I 2 3 4 P(x) 0.15 0.25 0.33 0.21 0.06 Select one: O a. 1.2516 O b. 3.1684 O C. 1.7800 O d. 4.4200Diana is taking two online courses: Econometrics II and Macroeconomics II. The probability she will pass Macroeconomics II and fail Econometrics II is 0.1358. The probability of passing both is 0.5564. If the probability of passing each course is independent, what is the probability that she will pass Macroeconomics II? Select one: O a. 0.4206 O b. 0.5794 O c. 0.6922 O d. 0.3078Two hundred and sixty students are registered for ECON1005. The average test score in Mid-Semester Examination 1 is 60 with a variance of 81. What is the Z-score for a student who scored 90? Select one: O a. 0.37 O b. -0.37 O c. -3.33 O d. 3.33