please solve with steps and explanation

a. Enter the observed frequencies in the table below. Height (cm) Less than 155.15 155.15 - 161.75 161.75 - 168.35 Greater than 168.35 Frequency 22 42 34 38 (Type whole numbers.) b. Assuming a normal distribution with mean and standard deviation given by the sample mean and standard deviation, find the probability of a randomly selected height belonging to each class. Height (cm) Less than 155.15 155.15 - 161.75 161.75 - 168.35 Greater than 168.35 Probability (Round to four decimal places as needed.) c. Using the probabilities found in part (b), find the expected frequency for each category. Height (cm) Less than 155.15 155.15 - 161.75 161.75 - 168.35 Greater than 168.35 Expected Frequency (Round to two decimal places as needed.)