A fair coin is tossed 100 times. Using normal approximation to binomial probabilities, find the probability that the number of heads would take a value within one standard deviation from the mean.
Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…
A: It is given that the mean is 18 and the standard deviation is 4.2.
Q: random variable x represents the number of credit cards that adults have along with the…
A: Let X be the random variable having probability mass function is, XP(X) 00.0710.6820.2130.0340.01
Q: The probability that a seed germinates is 55%. Plant 5 seeds. Let the random variable X be the…
A: The given information is:The number of trials is The success of probability
Q: Construct a Binomial probability distrubtion table using n=8and p=0.22. Next, record the mean and…
A: We are given,x follows binomial distribution with n = 8 and p = 0.22We have to construct Binomial…
Q: A couple plans to have children until they get a girl, but they agree they will not have more than…
A: Here we have given probability distribution of random variable is x 1 2 3 P(X=x) 0.550 0.248 0.202…
Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…
A: Given information Number of voters(n) = 133 Eligible voters = 22% p = 0.22 Checking whether normal…
Q: The random variable x represents the number of tests that a patient entering a clinic will have…
A: According to the given information, we have x 0 1 2 3 4 P(x) 317 517 617 217 117
Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and…
A:
Q: If a binomial distribution has p = 0.85, then what is the value for q? Select one: a. 0.15 b. 0.30…
A: GIVEN DATA binomial distribution p = 0.85 q = ?
Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…
A: The probability value is calculate by means of standard normal variate with the random variable,…
Q: The average life of a smartphone is 7 years with a standard deviation of 1 year. Assuming that the…
A: Let X denotes the life of smartphones. Given that X follows approximately N(μ=7,σ2=12). The sample…
Q: Assume that a procedure yields a binomial distribution with n = 893 trials and the probability of…
A:
Q: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability…
A: E(X)=∑X.P(X)E(X)=0×0.1+1×0.2+2×0.4+3×0.2+4×0.1E(X)=0+0.2+0.8+0.6+0.4E(X)=2
Q: y 0123456 P(Y = y) 0.052 0.154 0.232 0.240 0.174 0.105 0.043 . Find the mean of the random variable…
A: According to Bartleby guildlines we have to solve first three subparts and rest can be rep Y 0 1…
Q: we flip a coin 100 times and note that it only comes up heads 20% of the time. the mean and standard…
A: Given Information: X is a random variable that denotes the number of times the coin lands on heads.…
Q: The service time for customers coming through a checkout counter has mean 128 seconds and standard…
A: It is given that the service time has mean 128 seconds and standard deviation 6.3. Denote the random…
Q: Some sources report that the weights of full-term newborn babies in a certain town have a mean of 8…
A: Provided information is; Mean(μ) = 8 Standard deviation(σ) =1.2 Let , X be the random variable that…
Q: X 0 1 Five males with an X-linked genetic disorder have one child each. The random variable x is the…
A: x p(x) x*p(x) x2*p(x) 0 0.035 0 0 1 0.156 0.156 0.156 2 0.309 0.618 1.236 3 0.309 0.927…
Q: Assume that a procedure yields a binomial distribution with n = 58 trials and the probability of…
A: From the provided information, Number of trials (n) = 58 Probability of success (p) = 0.87 X~B (58,…
Q: A professor sees students during regular office hours. Time spent with students follows an…
A: Given data: Let, X follows exponential distribution with mean = 10 minutes To find: The probability…
Q: 78% of U.S. adults think that political correctness is a problem in America today. You randomly…
A: Given ,n=6p=0.78A random variable X~Binomial(n=6, p=0.78)
Q: les are binomial. If values are not found in the binomial distribution table, use the binomial…
A: Given: n=300,p=25% = 0.25 The mean of number of accidents caused by bad weather is:
Q: The average time a person spends at the Barefoot Landing Seaquarium is 94 minutes. The standard…
A: We have given that. X~N( μ , ?^2 ) μ=94 , ?=18 Z-score =( x - μ )/?
Q: 1. A binomial distribution is the probability distribution of the type of probability experiment…
A: 1. Characteristics of Binomial Distribution a) Number of Observation (n) is fixed b) The Probability…
Q: Below is another student's solution to a normal approximation problem. Identify each step with an…
A: n=50 1 in 5 treasure We have to find the probability that you find 8 rare items in a collection of…
Q: A normal distribution an be used to approximate the binomial distribution. Find the indicated…
A:
Q: Assume that the probability of a being born with Genetic Condition B is �=1/6. A study looks at a…
A: From the provided information,Probability of a being born with Genetic Condition B is p =1/6Sample…
Q: The National Centre for Health Statistics reported that of every 883 deaths in recent years, 24…
A: The objective of the question is to find out the probability that a particular death is due to an…
Q: According to a study done by UCB students, the height for Martian adult males is normally…
A: From the given information we find the solution for the given problem.
Q: The random variable X represents the number of tests that a patient entering a hospital has. Find…
A: The question is about discrete prob. dist. Given :
Q: he population mean and standard deviation are given below. Find the required probability and…
A:
Q: Find the mean, μ, for the binomial distribution which has the stated values of n and p. Round answer…
A:
Q: a. A random variable X has the following probability distribution: 0 x 18 5x 18 10 x 18 15 x 18 20 x…
A:
Q: Assume that the probability of a being born with Genetic Condition B is p=11/30. A study looks at a…
A: We have given that p = 11/30 n = 107
Q: In a certain state, the daily amounts of industrial waste are normally distributed with a mean of…
A: Let us denote X=the daily amounts of industrial wasteGiven that X is normally distributed with…
Q: Assume that the probability of a being born with Genetic Condition B is p = 3/4. A study looks at a…
A: Given that, p =3/4, n = 137 The most likely number of the 137 volunteers to have genetic condition B…
Q: Use the probability distribution for the random variable x to answer the question. 1 2 3 4 p(x) |…
A: Given data: x p(x) 0 0.03 1 0.2 2 0.19 3 0.17 4 0.35 5 0.06 The mean is μ=2.79.…
Q: Assume that the probability of a being born with Genetic Condition B is p=110. A study looks at a…
A: Given information: p=1/10 and n=1037 The most likely number of the 1037 volunteers to have Genetic…
Q: A survey shows the probability of thenumber of automobiles that families in a certain housingplan…
A: Given data,
Q: A fair coin is flipped sixty times and the number of tails that occur is noted. A random variable X…
A:
Q: Each month, an American household generates an average of 27.5 pounds of newspaper for garbage or…
A: Given information- Population mean, µ = 27.5 pounds Population standard deviation, σ = 3.1 pounds…
Q: Find the probability that a randomly selected adult has an IQ between 91 and 119.
A: Let X denote the IQ scores of the adults. Given that X follows N(mean = 105, SD = 15), then Z = (X…
Q: A normal distribution has mean of 105 and a standard deviation of 10. Find the probability that a…
A: Solution :- Given :-Mean = μ=105Standard Deviation = σ=10Atmost means all probabilities smaller than…
Q: A sample of size 60 will be drawn from a population with mean 31 and standard deviation 6. Use the…
A:
A fair coin is tossed 100 times. Using normal approximation to binomial probabilities, find the probability that the number of heads would take a value within one standard deviation from the mean.
a. 0.6679
B. 0.6711
C. 0.3321
D. 0.3289
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the x-values for 1, 2, and 3 standard deviations from the mean, and write in the probabilities between eachThe standard deviation of a discrete random variableo is the positive square root of its: O a. median. O b. mean. O c. variance. O d. mode. NE DUS PAGEVerify whether the given table represents a probability distribution. In those cases where a probability distribution is described, find the mean and standard deviation. NOTE: The Rounding Rule for the mean and standard deviation: They should be rounded to one more decimal place than occurs in the raw data. For a group of four students, the number y who takes the Calculus II class next semester is given by this table. y P(y) 0 0.5131 1 0.3139 2 0.0624 3 0.1102 4 0.2002 Probability distribution with μ=0.4 and σ=0.4 Probability distribution with μ=0.6 and σ=0.1 Probability distribution with μ=0.6 and σ=0.3 Probability distribution with μ=0.7 and σ=0.4
- An electronic company manufactures electrical resistors with Rave = 40 Q and SD= 2, same unit. What is the probability that the manufactured products will exceed 43 Q? Assume normal distribution. O 17.24% O 82.76% O 93.32% O 6.68%A maze has 25 possible paths. Let x represents the number of paths a subject tries in order to traverse the maze. Find the man and the standard deviation of the probability using Excel.Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. OA. H= O B. The table does not show a probability distribution. X P(x) 0 0.368 0.435 0.171 0.026 adult(s) (Round to one decimal place as needed.) 1 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. C. No, the sum of all the probabilities is not equal to 1. D. No, the random variable x's number values are not associated with probabilities. E. No, the random variable x is categorical instead of numerical. Find the mean of the random variable x.…
- Suppose a binomial trial has a probability of success of 0.1, and 500 trials are performed. What is the standard deviation of the possible outcomes? Round your answer to two decimal places. OA. 8.94 B. 10.95 C. 6.71 D. 10.25Assume that the probability of a being born with Genetic Condition B is p = 4/15. A study looks at a random sample of 133 volunteers. Find the most likely number of the 133 volunteers to have Genetic Condition B. (Round answer to one decimal place.) Let X represent the number of volunteers (out of 133) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O = Use the range rule of thumb to find the minimum usual value u-2o and the maximum usual value u+20. Enter answer as an interval using square-brackets only with whole numbers. usual values =In a study, 25,000 adults were randomly surveyed as to the number of grandchildren they have, X. The probability distribution is given below. Find the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. Round the mean to one decimal place and the standard deviation to two decimal places. x P(x) 0 0.01 1 0.02 2 0.02 3 0.24 4 0.35 5 0.20 6 0.07 7 0.05 8 0.02 9 0.01 10 0.01
- A normal distribution has a mean of 20 and a standard deviation of 1.0. Find the probabilities:a. A value that is 22 or less.b. A value that is 22 or more.Assume that a procedure yields a binomial distribution with n = 48 trials and the probability of success for one trial is p = 0.37. Find the mean for this binomial distribution. Round your answer to at least one decimal. μ = Find the standard deviation for this distribution. Round your answer to at least two decimals. σ =Find the mean, variance and standard deviation for the probability distribution given below. Give your answers to at least 4 decimal places. -4 12 10 P(X) 0.565 0.103 0.212 0.12 A. Mean = B. Variance = C. Standard Deviation = %3D .. 東