Question

1. A coin is tossed 3 times. Let x be the random discrete variable representing the number of times tails comes up.

a) Create a sample space for the event;   

b) Create a probability distribution table for the discrete variable x;                

c) Calculate the expected value for x.

2. For the data below, representing a sample of times (in minutes) students spend solving a certain Statistics problem, find P₃₅, range, Q₂ and IQR.

3.0, 3.2, 4.6, 5.2 3.2, 3.5

3. Canadian Blood Services is a not-for-profit organization that collects nearly one million units of blood per year. About 6% of people have O-negative blood. They are called universal donors because O-negative blood can be given to anyone, regardless of the recipient’s blood type. Suppose that 25 blood donors arrive at one of this organization’s donation centres.

a) Find the expected value and standard deviation     

b) What is the probability that there are exactly three universal donors?

c) What is the probability that there are less than three universal donors?      

d) What is the probability that there are at least 2 donors?          

=> I need steps to solve this questions. Please writing clearly

Answer 1