Please show your work and explain how you got to the answer, thank you.

The blood pressure for men aged 18 to 29 is modeled with a normal density curve. The distribution has a mean of u = 120 and a standard deviation of o = 10. The following is the random variable distribution with the normal density curve. Use this to answer the following questions. SHOW WORK! Blood Pressure Measurements for Men 18 to 29 a. (2 points) If a man has a blood pressure of 105 how many standard deviations away from the mean is his blood pressure? b. (2 points) What is the probability a randomly selected man will have a blood pressure of less than 105? 90 100 110 120 130 140 150 Blood Pressure c. (2 points) What is the probability a randomly selected man will have a blood pressure of more than 105? d. (2 points) Suppose a man's blood pressure is in the 75th percentile for his age group, what is the value of the 75th percentile?Imagine you take an exam and when you get your exam back, instead of seeing your raw score on the exam, you are given your z-score given the distribution ofthe entire class's scores. a. (1 point) What type of z-score would you want to see? Explain why. b. (1 point) What would a positive zscore mean? Explain. c. (1 point) What would a negative zscore mean? Explain. d. (1 point) What would a z-score of zero mean? Explain