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A binomial experiment consists of 13 trials. The probability of success on trial 6 is 0.32. What is the probability of success on trial 10?
Assume that a weather forecast for tomorrow states that it rains in Johannesburg with probability 0.2, it rains in pretoria with probability 0.3. Assume further that we are told that if it does rain in pretoria, then it rains in johannesburg with probability 0.8. calculate the probability thatvitvrains in both cities
Graph the probability distribution for rolling a six-sided die as a relative frequency histogram. Determine the mean and standard deviation for this distribution.Construct a relative frequency distribution for a sample mean distribution with sample size of 4 for rolling a six-sided die using 100 trials. Sketch this as a relative frequency histogram using the same horizontal and vertical scales as the relative frequency histogram for the population. This means using classes of 1≤x ̅<2,2≤x ̅<3, etc. This can be done using real dice roll or simulations using random number generators.
- Determine the mean and standard deviation for the sample mean distribution with n =4.
- Repeat the process for the sample mean when n = 9. Graph the relative frequency histogram using the same scale as the previous two distributions.
- Enter the mean and standard deviations for all three distributions in the table below.
DistributionMeanStandard DeviationPopulationSample Mean, n=4Sample Mean, n=9
Sales personnel for X Company are required to submit weekly reports
listing customer contacts made during the week. A sample of 61 weekly contact
reports showed a mean of 22.4 customer contacts per week for the sales personnel.
1. Develop a 95% confidence interval estimate for the mean number of weekly
customer contacts for the population of sales personnel.
2. Assume that the population of weekly contact data has a normal distribution.
Use the t distribution to develop a 95% confidence interval for the mean number
of weekly customer contacts.
3. Compare your answer for parts (a) and (b). What do you conclude from your
results?
If 𝑋 is the number of unprotected websites, where three websites are opened randomly,
then 𝑋~𝑏(3, 0.4). Calculate the probabilities for 𝑥 = 0, 2, 4.
During the college vacations, each day Ahmed either eats rice with probability 0.6, or eats bread with probability 0.4. Ahmed does not eat both on the same day. If he eats rice then the probability that he gains weight is 0.05. If he eats bread the probability that he gains weight is 0.75. (i) Find the probability that Ahmed gains weight on any particular day. (ii) Given that Ahmed gains weight on a particular day, find the probability that he is eating bread. (iii) There are 45 days of school holidays. Show that the variance of the number of days Ahmed eats bread is the same as the variance of the number of days that Ahmed eats rice.
A researcher wants to estimate the number of hours that 5-year old children spend watching television. A sample of 50 five-year old children was observed to have a mean viewing time of 3 hours. The population is normally distributed with a standard deviation of 0.5.
Levie tosses an unbiased coin. He receives PHP 100 if a head appears and he pays PHP 40 is a tail appears. Find the expected value and the variance of his gain.
Assume that A and B are events, with P(A)= 0.6, P (B|A)= 0.2 and P(B|A c)= 0.1. Find the probability for
a. P(B)
A bag contains so many pink and yellow balls.A person can have 2 balls.Given that one of the balls is pink. What is the probability that the other one is also pink?
#331389 on Nov 2022