Binomial distribution - practice problems
Number of problems found: 79
- The chief
The chief fisherman Peter estimates that if he uses 4 lines then the probability of making a catch on one line 0.7, if he uses 5 lines then, the probability of making a catch on any line is 0.6. If he uses 6 lines, the probability of making a catch on any
- Yarhands
Yarhands statistical consult conducted statistical analysis on the election results from 1992 to 2012 to assess the chances of the npp winning election in the Volta region of Ghana. The research reveals that 15% of inhabitants in the Volta region favor th
- Bernoulli trial
A used car sales woman estimates that each times she shows a customer a car, there is a probability of 0.1 that the customer will buy the car. The sales woman would like to sell at least one car per week. If showing a car is a Bernoulli trial with a proba
- Overbooking flight
A small regional carrier accepted 12 reservations for a particular flight with 11 seats. 7 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 49% chance, independently
- Probability 73714
I roll six six-sided dice; what is the probability that exactly three threes will fall?
- Probability 73054
We roll six dice. What is the probability that: a) a six falls twice b) six falls four times
- Five identical
Five identical coins are tossed. What is the probability for more than 1 head?
- Distribution 67074
The time required to complete the test has a normal distribution with a mean of 50 minutes and a standard deviation of 10 minutes. What percentage of students take the test within 30 minutes?
- Three sigma rule
Stoach weights are normally distributed, with mean 1314g and standard deviation 113g. State the probability that a randomly selected stoach weighs more than 1118g. (Report the probabilities using at least 4 decimal places. )
- Probability 64174
The banker deals on average with five clients a day. Find the probability that the number of clients (in one day) will be greater than 4.
- 68-95-99.7 rule
Assume the resting pulse rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the following quantities. a. Percentage of pulse rates less than 70 b. percentage of puls
- Confidence 61774
What is the smallest number of men we would have to choose to estimate the mean height of men with an accuracy of +, - 0.5cm and 95% confidence, assuming a standard deviation of 8cm?
- Probability 59493
Determine the probability of a random event out of 10 randomly selected bridge cards. There will be at least three aces. Note This is a team game, with 52 cards in the deck, of which four aces.
- Pass a test
The student has to pass a test that contains 10 questions. For each of them, he chooses one of 5 answers, with just one being correct. The student did not prepare for the test, so he chooses the answers at random. What are the probabilities that the stude
- Compare distributions
Which would you expect to be larger, the standard deviation of 5 random numbers picked from 1 to 47 in the California Super Lotto (CSL - write 1 as result), or the standard deviation of 5 random numbers picked from 1 to 69 in the multi state PowerBall Lot
- A student 2
A student randomly selected 225 college students and asked them whether they ate breakfast that morning before coming to campus. There were 57 students that were at least 25 years old, of which 30 had breakfast that morning. Of the 168 students that were
- Population variance
In a California community college, 60% of students will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. If 8 students are randomly selected, find the population variance σ² of
- Sample Proportion
In a California community college, 60% of students will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. 400 students are randomly selected from the college and 224 of them will
- Error rate
The exam has 6 questions. Students have an error rate of 20% and can have a maximum of 1 question wrong. What is the probability that they will succeed?
- Suppose 4
Suppose that 14% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be
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