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Make a c++ program that will print the average of the values of an array named areas with values 84, 76, 48 using while loop.


Make a c++ program that will display netpay of employee by inputting the basic pay and overtime pay. It should compute first the gross pay which which is the sum of the input values and the tax which is 10% of the basic pay. The netpay is gross pay minus tax. Use a function for each computation.


Make a c++ program that will print the highest number of the three input number using a function.


An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil.

• A) What is the probability that the first strike comes on the third well

drilled?

• B) What is the probability that the third strike comes on the seventh

well drilled?



A box of bulbs is inspected. The inspector draws a bulb randomly and independently, and tests it until he finds 10 defective bulbs. Suppose 5% of all bulbs are defective. Let X be the number of bulbs tested in order to find 10 defective bulbs.

• A) What is the distribution of X?

• B) What is the expected number of bulbs that must be tested in order to get 10 defective bulbs?

• C) What is the variance of X?

• D) What is the probability that 15 bulbs will be tested in order to find

10 defective bulbs?



1.Let the random variable X be the total number of heads when a fair coin is tossed 4 times.

•Is this a Bernoulli or binomial trial/experiment?

•Are the conditions of a Binomial trial satisfied?

•Find the probability mass function for X.


2. The probability that the patient recovers from a rare blood disease is 0.4. If 10 people are known to have contracted the disease, what is the probability that

a) exactly 3 patients survive the disease?

b) from 3 to 5 patients survive the disease?


3. Suppose that a student is given a test with 10 true-false questions. Let X be the number of questions guessed correctly by the student.

i) Write down the probability distribution (probability mass function) of X

ii) What is the probability that the student guesses all questions correctly?

iii) what is the probability that is the probability that the student guesses 7 or more questions

correctly?




FIND THE MEAN OF THE SET OF DATA BELOW AND CONSTRUCT A SAMPLING DISTRIBUTION

BY SELECTING 3 SAMPLES AT A TIME: 7 10 14 17 20


The distribution function of a discrete random variable X is given by

Fx(k) = "\\begin{Bmatrix}\n 0, & k < 1 \\\\\n 0.1, & 1 \\leq k <2 \\\\\n 0.3, & 2 \\leq k <3\\\\\n0.7, & 3 \\leq k <4 \\\\\n0.8 & 4 \\leq k < 5\\\\\n1 & k \\geq 5\n\\end{Bmatrix}"



1) What are the possible values of X?

2) Find the probability mass function of X.



Suppose that 4 children are planned in a family. Let the random variable X stand for the number of boys. Discuss the probability distribution of X.


• Find the mean and variance of the random variable X.



Consider the experiment of throwing a pair of dice. We are interested in the sum of the two numbers that occur. We know that X can assume the numbers 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

1) What is the probability mass function of X?

2) What is the probability that the number of dots will be at least 4 and at most 7?

3) Find the probability that the sum will be at least 7.



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