In a survey of 100 children, it is found that 47 have at least one brother, 58 have at least one sister and that 32 children have both. How many of the children have no brothers and sisters?

In a survey of 100 children, it is found that 47 have at least one brother, 58 have at least one sister and that 32 children have both. How many of the children have no brothers and sisters?

In a group of 200 school students, 135 are enrolled in sciences classes, 110 are enrolled in accounting classes, and 88 are enrolled in both of the classes. (i) Draw a suitable Venn diagram...

In a group of 200 school students, 135 are enrolled in sciences classes, 110 are enrolled in accounting classes, and 88 are enrolled in both of the classes. (i) Draw a suitable Venn diagram...

You need to pay one dollar to buy an instant lottery ticket. In this instant lottery game, you have 10% chance to win a one dollar bill and 5% chance to win a five dollar bill. You are interested...

In a box of 12 light bulbs, it is known that 5 of them are defective. That is, 5 are defective and 7 function properly. We select 2 bulbs from the bag at random, without placement.

The No Child Left Behind (NCLB) Act of 2001 mandates that by the year 2014, each public school must achieve 100% proficiency. That is, every student must pass a proficiency exam or the school faces...

I have maximum 1000 items to be distibuted among 3 students Each student has a priority of 40%,30% and 30% respectively. I am distibuting 100 items initially in the first round In the second...

Of the 19 employees at a gift shop, 13 work full time, 7 work on weekends, and 9 are casual employees. All of the permanent part-time employees work on weekends, 3 of the full-time employees...

A school’s athletics department can send 3 track athletes and 2 field athletes to an upcoming meet. The school has 14 track athletes and 10 field athletes who qualify. Use combinations to...

Assume that you have a car worth $ 6 650 and you wish to insure it for its full replacement value if it is stolen. If there is a 1% chance that the car will be stolen, what would...

Sixty percent (p = 0.6) of of customers of a drug store use the drive-through counter. On a particular day 500 customers visit the store. What is the probability that at most 310 will use the...

A group of retailers models that the amount of dollars X that an individual will spend in christmas shopping has a normal distribution with mean μ = $1100 and standard deviation σ = $330. What proportion...

A sample of 50 homeowners who recently hired a landscaping service yielded the following information about their landscaper. Number of Homeowners Would you Recommend Your...

A group of retailers models that the amount of dollars X that an individual will spend in christmas shopping has a normal distribution with mean μ = $1100 and standard deviation σ = $330. What proportion...

If I get 100 people to flip a coin 10 times and assign them into 4 groups, then I will have many coin flip combinations that will be sorted into 4 groups. If I now flip a coin 2 times and look at...

In a recent semester at a local univeristy, 540 students enrolled in both General Chemistry and Calculas. Of these students, 72 received an A in chemistry, 65 recceived an A in calculas and 31 received...

P(0<=Z<=0.53)

The length X of salmon in a river has normal distribution with mean μ = 17 inches and standard deviation σ = 4 inches. What percent of the salmon in the river are between 9 inches...

Milk cartons are filled by a machine. The mean volume of a carton of milk is μ = 1.0 quart and the standard deviation is σ = 0.06 quart. Assume that the volume of milk in the cartons is normally distributed...

The heights distribution of a population is assumed to be normal, with mean height μ = 66.5 inches, and the standard deviation height σ = 2.4 inches. What is the percentage of people...

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