In a family with 3 children, the probability that all the children are girls is approximately 0.125. In a random sample of 1000 families with 3 children, what is the approximate probability that 90 or fewer will have 3 girls? Approximate a binomial distribution with a normal distribution. The probability that 90 or fewer families will have 3 girls is ______. (Round to four decimal places as needed.)

In a family with 3 children, the probability that all the children are girls is approximately 0.125. In a random sample of 1000 families with 3 children, what is the approximate probability that 90 or fewer will have 3 girls? Approximate a binomial distribution with a normal distribution. The probability that 90 or fewer families will have 3 girls is ______. (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

If a seed is planted, it has a 55% chance of growing into a healthy plant. Let X be the number of seeds grow into healthy plants when 55 seeds are planted. a. What is the distribution of X?X - ? ✓ Please show the following answers to 4 decimal places. b. What is the probability that exactly 30 seeds grow into healthy plants? c. What is the probability that at most 30 seeds grow into healthy plants? d. What is the probability that more than 30 seeds grow into healthy plants? e. What is the probability that between 25 and 32 (including 25 and 32) seeds grow into healthy plants?
Use the scenario below to determine the correct values of n, p, q and x of the binomial distribution. Suppose that in a certain video game there is a 5.1% item drop rate of wild meat after defeating a Beast Master. Assume 14 Beast Masters are defeated. What is the probability that 5 wild meats will drop? n = p = q = X =
Q4. The data in the table below shows a distribution for the marital status of adults living in a particular city which classified according to gender "Male" and "Female". If an adult is selected at random, determine the probability that: 1- the adult selected is a female. 2- current status of the adult selected is not married. 3- the adult selected is a male, given that the adult selected is divorced. EI TT TI Single Married Widowed Divorced Total Male 100 250 25 40 415 Female 70 230 42 55 397 Total 170 480 67 95 812
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. Two percent of hair dryers produced in a certain plant are defective. Estimate the probability that of 10,000 randomly selected hair dryers, at least 219 are defective. Round to four decimal places. OA. 0.9066 OB. 0.0823 OC. 0.0869 OD. 0.0932
Assume each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. For a family with four children, let X = number of children who are girls. Identify p for the binomial distribution.
When X is a binomial random variable, the mean of the probability distribution = np. A jury has 12 people on the jury. If a certain town has a population that is 9 percent a certain race, how many people of that race would you expect would be on the jury if jury selection was random (and every person was equally likely to be on the jury). Round answers to 4 decimal places as needed.
According to Reader's Digest, 44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)= (to 2 decimals) (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,
Please answer 17, 18 and 19
The mean percent of childhood asthma prevalence in 43 cities is 2.13%. A random sample of 32 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.5%? Interpret this probability. Assume that o = 1.34%. The probability is. (Round to four decimal places as needed.)
he mean height of women in a country (ages 20−29) is 64.4 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume σ=2.75.