If np≥5 and nq≥5, estimate P(fewer than 4) with n=13 and p=0.5 by using the normal distribution as an approximation to the binomial distribution; if np<5 or nq<5, then state that the normal approximation is not suitable
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Q: If np≥5 and nq≥5, estimate P(fewer than 5) with n=13 and p=0.6 by using the normal distribution as…
A: np= 13×0.6=7.8>5 nq=13×0.4=5.2>5 We use normal approximation to calculate probability.
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A: Givenn =14, p=0.6 np=14*0.6=8.4nq=n(1-p)=14*(1-0.6)=14*0.4=5.6 np and nq values are both greater…
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Q: If np≥5 and np≥5, estimate P(fewer than 5) with n=14 and p=0.6 by using the normal distribution as…
A: Given, n = 14 and p = 0.6 q = 1 - p = 1 - 0.6 = 0.4 np = 14*0.6 = 8.4 which is greater than 5 nq =…
Q: If np > 5 and nq ≥ 5, estimate P(more than 5) with n = 12 and p = 0.6 by using the normal…
A: n=12p=0.6
Q: If np>5 and nq>5, estimate P(fewer than 8) with n = 14 and p = 0.6 by using the normal…
A: From the given information, Sample size (n) = 14 p=0.6 It has been given that, np < 5 or nq <5…
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A: Summary of this question It np is greater than or equal to 5 and nq is greater than or equals 5.
Q: If np≥5 and nq≥5,estimate P(fewer than 9) with n= 11 and p=0.6 by using the normal distribution as…
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- If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)Assume that a procedure yields a binomial distribution with �=1374 trials and the probability of success for one trial is �=52%.Find the mean for this binomial distribution.(Round answer to one decimal place.)�= Find the standard deviation for this distribution.(Round answer to two decimal places.)�= Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =The variable X denotes a binomial random variable with parameters n and p. Indicate which area under the approximate normal curve would be determined to approximate the given binomial probability. P(X=22) The area between the lower delimiting x-value, and the upper delimiting x-value, would be determined to approximate the binomial probability P(X= 22). (Use integers or decimals for any numbers in the expressions. Do not round.)
- Q2: Suppose the current measurements in a strip of wire are assumed to follow a normal distribution with a mean of 10 milliamperes and a variance of 4 (milliamperes)² 1- What is the probability that a measurement will exceed 13 milliamperes? 2- what is the probability that a current measurement is between 9 and 11 milliamperes?the time X that a lightbulb can last (life lenght) is a distribution with mean 1 year and standard deviation 0.5 years. suppose we have 100 such lightbulbs, what is the probability that the average life length of the lightbulks is greater than 1.02 years? what is theorem you are using here?of a defective bolt is 0.1, find the meqn, 8. If the probability and standard deviation for the distribution of defective bolts a total of 400, (assume Binomial distribution). in a
- Assume Binomial Distribution with n = 9 and p = .3. Please show your answers to 4 decimal places. P(X = 4) = P(X ≤ 4) = P(X < 4) = P(X > 4) = P(X ≥ 4) =Parts (a) and (b) are both related to normal distribution but are not directly connected to each other. Please complete both parts. Sketch two normal pdfs, both with u=-1, but one with (a) o=2 and the other with o =7. Label the curves. (b) Compute P(|Z| < 2.43). Assume that Z is a standard normal random variable. 2.Suppose X has a continuous uniform distribution over the interval -1,1. Determine the variance. Round your answers to 3 decimal places.
- Np>5 and nq>5, estimate P(at least 11) with n=13 and p = 0.6 by using the normal distributions as an approximation to the binomial distribution. if np<5 or nq<5 then state the normal approximation is not suitable. p (at least 11) =The variable X denotes a binomial random variable with parameters n and p. Indicate which area under the approximate normal curve would be determined to approximate the given binomial probability. P(X<10) The area between the lower delimiting x-value, and the upper delimiting x-value, would be determined to approximate the binomial probability P(X<10). (Use integers or decimals for any numbers in the expressions. Do not round.)Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood. Assume that x has a distribution that is approximately normal with mean of 7500 and estimated standard deviation of 1750. A test result of x<3500 is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection. What is the probability that on a single test x<3500? Suppose that a doctor uses the average for two tests taken a week apart. What can we say about the probability distribution of ? What is the probability that <3500? Repeat part b with n = 3 tests taken a week apart. Compare your answers for parts a, b, and c. How did the probabilities change as n increased? If a person had <3500 based on three tests, what conclusion would you draw as a doctor or a nurse?
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