Consider a binomial experiment with n = 20 and p = 0.70. a. Compute f(12) (to 4 decimals). b. Compute f(16) (to 4 decimals).
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Q: Consider a binomial experiment with n=20 and p=0.70. Compute P(x>- 16) (to 4 decimals). Compute…
A: n=20 p=0.70 μ=np =20×0.70 =14σ=np(1-p)=20×0.70×(1-0.70)=2.07
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- If X~B(n=1000; P=.2) compute the following: SD(X) = 0x is : 8.21 9.45 12.65 16.46f the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0.7, what is the probability that out of 8 newly hired people (A) 5 will still be with the company after 1 year? (B) 5 or more will still be with the company after 1 year? Round each of the calculations to three decimal places when going through the solution process.For the M/M/N/o system, the probability that an arrival will find all servers busy and will be forced to wait in queue is an important measure of performance of the M/M/N/∞ system. This probability is given by PQ N!(1 – p/N) | and is known as the Erlang C formula. Please derive the equation. What is the expected number of customers waiting in the queue (not in service)?
- For Numbers 11 to 13: A veterinarian hypothesize that a new formulation of shampoo is better than "kakawate", a popular control for getting rid of ticks on dogs which is found to be effective 75% of the time. He wants to prove this claim, hence, a random sample of 50 infected dogs were obtained. If proven true, this new formulation will be released in the market. 11. TRUE or FALSE: A type I error will be committed if the veterinarian concludes that new formulation was effective on more than 75% of the infected dogs when in fact it is not. O TRUE O FALSEConsider a binomial experiment with n=6 trials where the probability of success on a single trial is p= 0. 45 A. Find P(r=0) B. Find P(r>1) by using the complement rulePlease solve using R
- A box in a supply room contains 24 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9 are rated 18-watt, and 7 are rated 23-watt. Suppose that three of these bulbs are randomly selected. (Round your answers to three decimal places.) *****-+ in the probability it exactly two of the selected hulhe 1 na is the ph that all the -ina? "'? (d) If bulbs are selected one by one until a 23-watt bulb is obtained, what is the probability that it is necessary to examine at least 6 bulbs?The probability of having blood type A is 0.4. Choose 4 people at random and let r be the number with blood of type A. r is a binomial random variable with n = 4 and p = 0.4 q = 1- Now use the binomial probability formula, P(r) =, C,p'q"-", to complete the chart below. Enter the simplified for of the exponents. (Example: If n-r = 4-1 = 3, you would enter 3.) Do not round any values. Probability Formula P(r) 4Co (0.4)°( 0.6)4 0.1296 1 1 C 1 ( 0.4 (0.6)3 0.3456 4C 2 (0.4)2 0.6 2 C3 ( 0.4 3 ( 0.6 1 0.1536 4C4 (0.4) (0.6) 0 4 Interpret the Data 1. What does P(2) = 0.3456 mean? The probability of choosing 2 people with type A blood, out of a group of 4. + is 34.56 %. 2. What is the probability of at least 3 of the 4 people having a blood type of A? Sh (Enter the decimal value) Dis Click to view hint 2.According to recent reports, currently 39% of the population of NC (adults and children) has been fully vaccinated against Covid. Suppose of random sample of 400 individuals from the population of NC is selected. Let x represent the number in the sample who are fully vaccinated. a. State the values of n and p for this binomial experiment. b. Find the probability that exactly 156 in the sample have been fully vaccinated. Round to 4 decimal places.