Cumulative Probability of Continuous VariablesSuppose you work at a sports analysis company and you want to analyse the effect a bowler’s height has on his/her performance. So, you create a list of all 5 wicket hauls in the last decade. Based on this data, they created a cumulative probability distribution for X, where X = height of the bowler who took the 5 wicket haul.Now, based on the data, you conclude that the cumulative probability, F(175.3 cm) = 0.3. In this case, which of the following statements is correct?P(X<175.3 cm) = 0.3P(X<175.3 cm) = 0.3(Remember that height is a continuous variable.)

Cumulative ProbabilityLet X be the number of wickets Ishant Sharma would take in the next T20 match he plays. Given below is an incomplete table for cumulative probability based on previous experience.X(Number of wickets taken by Ishant Sharma in a T20 Match)  F(X)  0 0.351 0.552 0.75 What is the probability that he would take more than 2 wickets in the next T20 match he plays?0.750.250.51

The cumulative distribution function F(x) of a continuous random variable X with the probability density function f(x) is which of the following?Multiple ChoiceThe area under f over all values that are x or less.The area under f over all values x.The area under f over all non-negative values that are x or less.The area under f over all values that are x or more.

Let X a random variable from a continuous probability distribution where 0 ≤ x ≤ 15. What is the probability that x takes the value of 15 or more?Question 3Answera.0.75b.0c.0.5

Suppose a continuous random variable X  has the CDF(a) What is the range of possible outcomes for X?(b) As far as you can tell from the graph, what is P( X ≤ 1.5 )?(c) What feature of the CDF tells you that X is a continuous random variable?

Suppose the cumulative distribution function of a random variable X is given by :Calculate P(1 < X < 3)?