A hen lays N eggs, where N has the Poisson distribution with parameter λ. Each egg hatches with probability p independently of the other eggs. Let K be the number of chicks. What is the covariance between N and K?
In: Statistics and Probability
it is found that the probability a certain plant flowers in its
first year is 40%. A gardener purchases 1000 of these first-year
plants. What is the variance and standard deviation of the random
variable X which is the number of plants that flower in the first
year?
In: Statistics and Probability
Three symmetrical and homogeneous dice are tossed simultaneously. Find the probability of event A: the total number of dots appears at 10 if we know that at least one dice has upper face 3 dots. (Sorry I'm not good at English)
In: Statistics and Probability
Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randomly selected (with replacement) find the probability that for one such phone number, the last four digits include at least one 0.
In: Statistics and Probability
From a lot containing 25 items, 5 of which are defective, 4 are chosen at random. Let Y be the number of defectives found. Obtain the probability distribution of Y if
(a) the items are chosen with replacement,
(b) the items are chosen without replacement.
In: Statistics and Probability
You toss a biased coin with the probability of heads as p. (a) What is the expected number of tosses required until you obtain two consecutive heads ? (b) Compute the value in part (a) for p = 1/2 and p = 1/4.
In: Statistics and Probability
Using R-Studio find the answer to
The average number of patrons arriving at a restaurant per hour is eleven. What is the probability that eight or less will arrive in the next hour?
1. 0.232
2. 0.173
3. 0.1432
4. 0.8881
In: Statistics and Probability
The average number of passes in a football game is right skewed with mean 75 and variance 729. If we sample 121 random games, what is the probability our average would be more than 80.8? Use 4 decimal places
In: Statistics and Probability
Binomial distributions are approximately normal when the number of trials is large, and the probaility of success is not near zero or one. A player flips an unbiased coin 1,296 times.
a. What is the probability of the coin landing on heads between 612 and 684 times?
In: Statistics and Probability
State Farm Insurance studies show that in Colorado, 50% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose 10 property damage claims involving automobiles are selected at random. (a) Let r be the number of claims made by males under age 25. Make a histogram for the r-distribution probabilities. Maple Generated Plot Maple Generated Plot Maple Generated Plot Maple Generated Plot (b) What is the probability that seven or more claims are made by males under age 25? (Use 3 decimal places.) (c) What is the expected number of claims made by males under age 25? What is the standard deviation of the r-probability distribution? (Use 2 decimal places.) μ σ
In: Statistics and Probability