Kindly help me solve all questions.

Discuss the need for quantitative research in the healthcare service field. Provide an example of a researchable question that will be investigated with quantitative research. Explain which research methods and designs can be applied to the chosen question research. What challenges and biases may impact the study results?

For a group of statistics students scores on the last test are modeled by a normal distribution with mean 74 and standard deviation 19. Calculate the probability a randomly selected score is more than 90. PIES. ON b Calculate the probability a randomly selected score is less than 60. P ( X 2 60 ) 2 U Calculate M such that the probability a randomly selected score is more than M is 0.2546.IE 331: Probability and Engineering Statistics Quiz # 2 Name: Ali Soley Al harefly Fall 2019 Section (3) ID: PRealy 1. A fair coin is flipped four times and the number of heads is counted. Calculate the probability of at most one head. 2. Calculate the probability that the coin will land heads three or fewer. 3. Calculate the mean, and standard deviation of the binomial distribution.c) In Mr. ERIZ's class, the probability of student who likes Mathematics subject is 0.5 and the probability who likes both Mathematics and Statistics subjects is 0.25. i. If one student is chosen at random, what is the probability that this student likes Statistics given that he/she also like Mathematics subject? (2 marks) ii. If the probability of students who likes Statistics is 0.45, are the events 'like Mathematics subject' and 'like Statistics subject' independent? Justify your answer. (4 marks) iii. Are the events 'likes Mathematics' and 'likes Statistics' mutually exclusive? Justify your answer. (2 marks)