Binomial distribution - practice problems - page 5 of 6
Number of problems found: 118
- The shooter
The shooter shoots at the target, assuming that the individual shots are independent of each other and the probability of hitting them is 0.2. The shooter fires until he hits the target for the first time, then stop firing. (a) What is the most likely num - Probability 30271
The probability of an adverse drug reaction is 2.1%. How many people need to be prescribed for one patient to experience side effects with a chance of 90%? - Distribution 29371
Let the random variable ξ represent the number of satisfied customers. The probability of a satisfied customer for each of the four customers is 7/10. Specify: a) probability distribution, distribution function F(x) and P(-0.5 < ξ < 3.1) b) variance - Deficiencies
The hygienic inspection of 2000 mass caterers found deficiencies in 300 establishments. What is the probability that flaws in a maximum of 3 devices will be found during the inspection of 10 devices? - Six questions test
There are six questions in the test. There are three answers to each - only one is correct. To take the exam, students must answer at least four questions correctly. Alan didn't learn, so he circled the answers only by guessing. What is the probability th - Manufacturer 24801
With a repeat check, five hundred of the series of products are to be inspected. The manufacturer guarantees 2% scrap for a given production. Determine the probability of scraps among the 500 products reviewed between 12 and 20. - Probability of failures
In specific productions, the probability of failure is 0.01. Calculate the likelihood of more than one failure among the 100 selected products if we return the selected products to the file after the check. - Functionality 24461
The daily product consists of 1000 components, and the probability of failure of any component during the use of the device is 0.001. It does not depend on other components. What is the probability of failure of two components in the investigated period o - All use computer
It is reported that 72% of working women use computers at work. Choose three women at random, and find the probability that all three women use a computer in their jobs. - The test
The test contains four questions, with five different answers to each of them, of which only one is correct, and the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answers to - Non-conforming 19863
The probability that a quality product will meet all technical requirements is 0.95. What is the probability that all three randomly produced products will be: a) conforming, b) non-conforming - Sick days
In Canada, there are typically 261 working days per year. There is a 4.9% chance of an employee taking a sick day. What is the probability an employee will use 17 OR MORE sick days in a year? - Ball bearings
One bearing is selected from the shipment of ball bearings. It is known from previous deliveries that the inner bearing radius can be considered a normal N distribution (µ = 0.400, σ2 = 25.10^−6). Calculate the probability that the selected radius will ex - Instructions 10282
Find out if two people in Bratislava have the same number of hairs on their heads. Instructions. Bratislava has about 420,000 inhabitants, and a person has less than 300,000 hairs on his head. - Probability 9771
What is the probability that ten molecules will arrange within the brown motion to be one molecule in the lower half and nine molecules in the upper half in one vessel? - Records
Records indicate 90% error-free. If eight records are randomly selected, what is the probability that at least two records have no errors? - Genetic disease
One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting the disease. A family has three children. What is the probability of this family having one child who inher - Probability of malaria
A survey carried out at a certain hospital indicates that the probability that a patient testing positive for malaria is 0.6. What is the probability that two patients were selected at random (i) one is negative while the other tested positive (i) both pa - Probability 8376
Three players roll the dice. They can start the game when a six is rolled. Everyone rolls 1 time. a) What is the probability that exactly one starts in the first round? b) What is the probability that at least two start? - Family
Ninety-four boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
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