Statistics - math word problems - page 28 of 46
Number of problems found: 919
- Probability
In an election, 2,400,000 voters out of a total of 6,000,000 voted for party Z. Three voters are selected at random. Let the random variable ξ = {number of voters for party Z among the three selected}. Determine: a) the probability distribution, the distr - Three cartridges - shooting
A shooter has three cartridges. He decided that he would shoot at the target until he hits for the first time. The probability of a hit at each shot is 0.6. The random variable X gives the number of cartridges fired. a) Write the probability distribution - Probability of malaria
A survey at a hospital indicates that the probability of a patient testing positive for malaria is 0.6. Two patients are selected at random. What is the probability that: (i) one tests negative and the other tests positive? (ii) both patients test positiv - Average 110
The average of five numbers is 1.3. What is their sum? What is the arithmetic mean of the numbers 0.04, 0.014, and 0.21? The arithmetic mean of four decimal numbers is 2.5. Three of these numbers are 1.8, 0.65, and 3.1. What is the fourth number? - Between two bus stops
Wanda lives between two bus stops at three-eighths of their distance. He started the house today and found that he would have arrived at the bus stop if he had run to one or the other. The average bus speed is 60 km/h. What is Wanda's average running spee - Triangle midpoints
Determine coordinates of triangle ABC vertices if we know triangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC. - Pass a test
The student has to pass a test that contains ten 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 randomly chose the answers. What are the probabilities that the student - 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. Four hundred students are randomly selected from the college, and 224 of - Phone call probability
One hundred people work in the office. Each of them spends an average of 25 minutes daily on the phone. A working day has 8 hours. What is the probability that ten workers will be on the phone simultaneously in one day? - Mailbox
A mailbox is opened at regular intervals 5 times a day. It is first opened at 9:00 and last at 17:00. Calculate the times at which the mailbox is opened during the day. - Lifespan
The lifetime of a light bulb is a random variable with a normal distribution of x = 300 hours, σ = 35 hours. a) What is the probability that a randomly selected light bulb will have a lifespan of more than 320 hours? b) To what value of L hours can the la - An exam - normal distribution
Five thousand students take an exam with a mean of 59 and a deviation of 8. How many students will score less than 75? - 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 - Makarska riviera
The motor boat departs from Baška Voda at 19:15 and arrives in Makarska at an average speed of 30 km/h at 20:00. However, a group of tourists from Germany must be in Makarska a third of the time earlier. What should the average speed of the boat be? - Sequence 11
What is the nth term of this sequence 1, 1/2, 1/3, 1/4, 1/5 ...? - Pedestrian up-down hill
The pedestrian goes for a walk first on the plane at 4 km/h, then uphill at 3 km/h. Then it is in the middle of the route, turns back, and goes downhill at 6 km/h. The total walk was 6 hours. How many kilometers went pedestrians? - Car average speed
A car drives for an hour on the highway at a speed of 100 km/h, then for half an hour at a speed of 80 km/h, and for another half hour in the field at a speed of 20 km/h. What track did he run together? What is the average speed of the car? - AM of three numbers
The number 2010 can be written as the sum of 3 consecutive natural numbers. Determine the arithmetic mean of these numbers. - Average speed
A car drove on one section of the highway for half an hour at 80 km/h. Then the driver reduced the speed to 60 km/h and traveled for three-quarters of an hour. What was the average speed of the car? - Minute average
In a factory, four workers are assigned to complete an order received for dispatching 1400 boxes of a particular commodity. Worker A takes 4 minutes per box, Worker B takes 6 minutes per box, C takes 10 minutes per box, and D takes 15 minutes per box. Fin
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