*Statistics week 9 graded assignment Complete Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments Check Below For Master Key*

1.A discrete random variable $X$ can take the values 1,2,···,7. For these values the cumulative distribution function is defined by:$F(x)=P(X≤x)=95x_{2}+k$; $x$= 1,2,···,7. Find the value of $k$.

**31**

2.An organization in Texas organizes lucky draw this month. 3 thousand tickets are sold for 2$ each. Each has an equal chance of winning. 1 tickets will win 698$, 3 tickets will win 353$ and 4 tickets will win 63$. Let, the random variable $X$ denote the net gain from purchase of one ticket. What is the probability that $X$ takes the value less than 353? (Enter the answer correct to 4 decimal place)

**0.9998**

3. In a group of 204 people, 29 are photographers and 175 are journalists. 12 people are randomly picked from a group of these 204 people. Let, $Y$ be a random variable which represents the number of photographers. How many possible values can the random variable $Y$ take?

**9**

5.A biased coin with probability of heads $0.75$ is tossed three times. Let $X$ be a random variable that represents the number of head runs, a head run being defined as a consecutive occurrence of at least two heads. Then the probability mass function of $X$ is given by:

6. Nina has 6 music sessions in a week. She attends the sessions 6 days a week 59% of the time, 5 days 13% of the time, one day 7% of the time, and no days 21% of the time. Let, $X$ be a discrete random variable representing the number of sessions she attends in a week. Suppose one week is randomly selected, what is the probability that the random variable $X$ take the value at most 5?(Enter the answer correct to 2 decimal places)

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7.Find the value of k for which k$(74)_{x}$( x = 0, 1, 2, …) is a pmf.(Enter the answer correct up to 2 decimal places)

**0.625**

8.Using the information in previous question, calculate $P(X=2)$.(Enter the answer correct up to 2 decimal places)

**0.09**

9.From a box $A$ containing 3 white and 6 black balls, 5 balls are transferred into an empty box $B$. Let $X$ be a random variable that represents the number of white balls which are transferred from $A$ to $B$. What value of random variable will have the least probability?

**0**

10. The probability mass function of a random variable X is given by:

$P(X=x)$= $⎩⎨⎧3k_{2}−3k2k_{2}−10forx=0forx=1otherwise$

Determine the value of k given $k>0$.

**1**