1. Consider the experiment of tossing two fair die. Let X denote the sum of the two numbers on the top of the die. (a) Write explicitly the set of values that X can attain. (b) Write explicitly the distribution of X. (c) Write explicitly the Cumulative Distribution Function (C.D.F.) of of X. (d) Plot the distribution (using sticks / stabs / bars) of X (e) Plot the cumulative distribution function of of X. (f) From the plot of the distribution of X, on which outcome would you bet?

Q: The random variables X and Y have the joint probability distribution given below. X=1 X=2 Y=1 0.20…

A: Given data is

Q: p(4) = Write an integer or decimal

A: Here given discrete probability distribution of X Here use rule , Total probabilityalways equal to 1

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80…

Q: The data given below show the number of overtime hours worked in one week per employee. Use the data…

A:

Q: 55. A concert producer has scheduled an outdoor concert for next Saturday. If it does not rain, the…

A: 55) Answer:- Given, The probability of rain next Saturday is 0.40 ,  Then, The probability of not…

Q: 2. The probability distribution of sales of a now drug in units per day is given by: - 1,2, 3, 4, 5,…

A: 2. Given information: fx=kx2, x=1,2,3,4,5,6 Therefore,…

Q: 3. Let X denote the number of times a machine will malfunction, 1,2 or 3 times on any given day. Let…

A: The marginal distribution of X: X 1 2 3 PX=xi 0.05+0.05+0.1=0.2 0.05+0.1+0.35=0.5 0+0.2+0.1=0.3…

Q: random variable X find the cumulative distribution function F(4) = P(X < 4) and assign "Primus" to…

A: Given information: The probability distribution of x is given.

Q: After analysing months of sales data, the owner of an appliance store produced the following joint…

A: Given data:   Computers Printers 0 1 2 0 0.08 0.14 0.12 1 0.09 0.17 0.13 2 0.05 0.18 0.04…

Q: A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per…

A: Given information: x frequency 0 29 1 448 2 729 3 1406   Total=2612 a) Probability…

Q: Consider the cumulative distribution function (cdf) provided below. 14 I 0.75 0.5 0.25 1 2 3 4 5 6 7…

A: In this provided function in terms of graph, the variable  assumes values on the x-axis, and the…

Q: Find the variance of the number of storms in August.

A: X: Number of thunderstorms in August.

Q: able belov. P(x.y) 2 0.025 0.015 0.010 0.050 0.030 0.020 0.055 0.075 0.050 0.150 0.090 0.060 0.100…

A:

Q: The discrete random variable X is the number of students that show up for Professor Jones' office…

A: We have given that, X is a discrete random variable i.e. number of students.   The probability…

Q: The following table lists the probability distribution of the variable x which represents the number…

A: Given data, x                       0                1                  2                      3…

Q: The following table gives the joint probability distribution of the speed of a car (C) and the…

A: The joint probability distribution of C and A is   C=30 kmph C=55 kmph C=85 kmph A=0 0.30 0.07…

Q: Q4: The probability mass function of a discrete random variable X is given by the following table: X…

A: Given that Probability mass function of X X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36…

Q: The marginal distributions of two random variables X and Y, together with some values of their joint…

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.21 - 0.7 X=2 - 0.09 - 0.3…

Q: The following table represents the joint probability distribution of the number of letters dropped…

A: From the given information, The pmf table can be expressed as;   Y=2 Y=3 Y=4 Y=5 P(X=x)   X=0…

Q: Suppose that you and your friend go to a concert in Long Beach. You know that 1 in 200 of the people…

A: Given information: The random variable is Z = Number of people that you speak before you speak to a…

Q: Four fair coins are tossed. X is the number of heads that occur. (1) Find the probability function…

A: Given that  Four fair coin are tossed  X=Number of heads n=4 , p=1/2=0.5 , q=1-p=1-0.5=0.5…

Q: :Consider the probability distribution function X: 1 Probability: 0.2 0.7 0.1 For the above…

A: The given data is discrete data. For this problem, we have to find the variance of X.

Q: 5. Using the appropriate distribution function for each, evaluate the following. (The answer is an…

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A: Solution σ1=σ2=0.5μ1=μ2=3.5n1=21n2=28

Q: The months of July to October are considered rainy season in the Philippines as multiple weather…

A: E(X)=∑ixi p(xi)E(X)=0×0.12+(1×0.20)+(2×0.33)+(3×0.25)+(4×0.10)E(X)=0+0.20+0.66+0.75+0.4E(X)=2.01

Q: Y 1 2 4 8. 16 |P(y) 0.05 0.10 0.35 0.40 0.10 Construct the cumulative distribution function.

A:

Q: Assume that ticket prices for an event are normally distributed. What z-value corresponds to the 1%…

A: we have to find  z value..

Q: Write the binomial probability and the normal probability for the shaded region of the graph. Find…

A:

Q: Con si der the experiment of tossing three fair coins, and let X= the number of heads observed in…

A: The X can be modelled as binomial distribution function with n= 3 and p=0.5.    The probability mass…

Q: ds lost. 1) More than 10 pounds 2) Between 8 pounds and 11 pounds

A: Let , X be the weight loss for the first month of a diet program. Here , X has uniform distribution…

Q: 1. Determine the covariance and correlation for the following joint probability distribution:…

A:

Q: Is the graph shown a probability distributión (prob density function) of a continuous random…

A: Subject to validation of certain assumptions, a graph can be termed a probability mass function or…

Q: Q4: The probability mass function of a discrete random variable X is given by the following table: X…

A: Given: The probability mass function of a discrete random variable X is: X P(X) 1 136 2 336…

Q: For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. a.…

A: The t table provides the area to the right of the t values corresponding to the degrees of…

Q: 3. A delivery truck travels from point A to point B and back using the same route each day. There…

A: Given,   X/Y 0 1 2 3 4 0 0.01 0.01 0.03 0.07 0.01 1 0.03 0.05 0.08 0.03 0.02 2 0.03 0.11…

Q: Example the p.d.f. Ax) = 2/x', 1 < x < ∞, zero elsewhere. The distribution function of X is Let the…

A:

Q: Q4: The probability mass function of a discrete random variable X is given by the following table: X…

A:

Q: Aiyana has purchased the life insurance policy for her snake for the price of $100 per year and…

A:

Q: Bill has purchased the insurance policy from an insurance company to cover the value of his new RV…

A: It's given that:- 1. RV is totaled = -$38,000+$1,300 = -$36,300    RV is not totaled = $1,300…

Q: Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and…

A: It is given that the probability mass function of random variable X in the tabulation form.…

Q: 5. a. Construct a frequency marginal distribution. b. Construct a relative frequency marginal…

A: A 2* 3 contingency table is given as follows.x1x2x3y1202530y2302550When several random variables are…