A credit score is a number ranging from 300 to 850 that essentially represents the probability that someone will pay their bills, and are widely used by lenders to determine the interest rate that you will pay (for example, on a car or home loan) and your credit limit. Do you know your credit score (see credit karma.com (Links to an external site.)Links to an external site.)? You do not need to disclose it, but what can you do to improve it?

Given the number of trials, n, and the probability of success, p, find the following probabilities.

a. N = 12, p = 0.06 P(3 successes)

b. N = 18, p = 0.96 P(2 failures)

c. N = 5, p = 0.28 P(at least 3 successes)

d. N = 90, p = 0.04 P(no more than 4 successes)

A question on my practice test is asking the probability of rolling an even number divisible by 1.5 on a die. The answer it gives me is .333, which suggests that there are two numbers. However; between 1 and 6 only 3 and 6 are divisible by 1.5, and only one of those is even.

Hence I get 1/6 =.1667. Am I missing something?

1. Below is the probability distribution for X which represents the number of cutthroat trout caught in a six-hour period at Pyramid Lake, Nevada.

                     x      0      1      2      3       4   .

                 p(x)   .44    .36            .04     .01     

1. Find the missing probability.

2. Find the expected number of cutthroat trout caught in a six-hour period at Pyramid Lake, Nevada.

3. Find the standard deviation of X.

4. Find the probability of catching at least 3 cutthroat trout in a six-hour period at Pyramid Lake, Nevada.

1. The following probability distribution represents the number of people living in a Household (X), and the probability of occurrence (P(X)). Compute the Expected Value (mean), the Variance and the Standard Deviation for this random variable. Show Your Calculations for the Mean.

    X      1         2        3          4        5               

P(X)    .33      .29      .27        .07       .04     

2. Use the binomial formula to compute the probability of a student getting 8 correct answers on a 10 question Quiz, if the probability of answering any one question correctly is 0.64. SHOW YOUR WORK.

3. Submit your answers to the following binomial questions. You may use the appendix table B #5 to answer parts (a) and (b). According to a government study, 20% of all children live in a household that has an income below the poverty level. If a random sample of 15 children is selected:

a) what is the probability that 6 or more live in poverty?

b) what is the probability that 5 live in poverty?

c) what is the expected number (mean) that live in poverty?

1. Explain why the probability of a number X is thought of as different under discrete versus continuous distributions.

1. The following probability distribution represents the number of people living in a Household (X), and the probability of occurrence (P(X)). Compute the Expected Value (mean), the Variance and the Standard Deviation for this random variable. Show Your Calculations for the Mean.

    X      1         2        3          4        5               

P(X)    .30     .33      .24        .08       .05     

2. Use the binomial formula to compute the probability of a student getting 7 correct answers on a 10 question Quiz, if the probability of answering any one question correctly is 0.84. SHOW YOUR WORK.

3. Submit your answers to the following binomial questions. You may use the appendix table B #5 to answer parts (a) and (b). According to a government study, 15% of all children live in a household that has an income below the poverty level. If a random sample of 15 children is selected:

a) what is the probability that 5 or more live in poverty?

b) what is the probability that 5 live in poverty?

c) what is the expected number (mean) that live in poverty? What is the variance? What is the standard deviation?

Seven lbm of ammonia in a piston-cylinder assembly, initially at p1 = 60 lbf/in2 and T1 = 120 (one hundred twenty) oF, undergoes an isobaric process to a final state. The work done on a system is 90 Btu. At the final state, determine the temperature (in oF) and the quality of ammonia.

A piston-cylinder device contains 0.56 kg of steam at 300 degrees C and 1.4 MPa. Steam is cooled at constant pressure until one-half of the mass condenses.

(a) Find the final temperature. T₁= _______ degrees celcius

(b) Determine the volume change in m³

- Calcium Carbonate (limestone) can decompose according to the following reaction. Supposed the Kp at a certain high temperature is 1.20. What will be the equilibrium pressure of CO2 (g) if a sufficiently sizeable slab of limestone is placed in a reaction chamber?

CaCO3 (s) >< CaO (s) + CO2 (g)

- Carbon monoxide can be decomposed at a reasonable reate in the presence of a transition metal catalyst ( such as iron or nickel ) according to the following exothermic reaction:

2CO (g) >< CO2 (g) + C(s)

Suppose this reaction is at equilbrium. Which way will reaction shift if:

a- The concentration of CO (g) is increased

b- The concentration of CO2 (g) is decreased

c- More solid carbon is added

d- Tempertature is increased

e- Temperature is decreased

f- A piston decreases the volume of the reaction container

g- A piston increases the volume of the reaction container

h- An additional cataylst is added