Q-1 Consider a binomial experiment with n = 20 and p = .70. Compute f(16). Q-2 Consider a binomial experiment with n = 20 and p = .70. Compute P(x ≥ 16). Q-3 Consider a binomial experiment with n = 20 and p = .70. Compute P(x ≤ 15).
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Q-1
Consider a binomial experiment with n = 20 and p = .70.
Compute f(16).
Q-2
Consider a binomial experiment with n = 20 and p = .70.
Compute P(x ≥ 16).
Q-3
Consider a binomial experiment with n = 20 and p = .70.
Compute P(x ≤ 15).
Q-4
Consider a binomial experiment with n = 20 and p = .70.
Compute E(x).
Q-5
Consider a binomial experiment with n = 20 and p = .70.
Compute Var(x) and σ
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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)For conducting a two-tailed hypothesis test with a certain data set, using the smaller of n1-1 and n2-1 for the degrees of freedom results in df=11, and the corresponding critical values are t=+-2.201. Using the formula for the exact degrees of freedom results in df=19.063, and the corresponding critical values are t=+-2.093. How is using the critical values of t=+-2.201 more "conservative" than using the critical values of +- 2.093?Consider a binomial experiment with n = 20 and p = 0.4. Calculate the P(X ≥ 10). Do not usenormal approximation.
- Q15) A cookie jar containts 15 chocolate chip and 5 oatmeal cookies. If 3 cookies are randomly selected, what is the probablity at least one is an oatmeal cookie? (Find TWO METHODS to calculate this problem, and show the work)Each of 13 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerators are running. Suppose that 10 of these refrigerators have a defective compressor and the other 3 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 9 examined that have a defective compressor. ***Please solve both parts or do not attempt this problem.*** (a) Calculate P(X ≤ 7). (Round your answer to four decimal places.) (b) Determine the probability that X exceeds its mean value by more than 1 standard deviation. (Round your answer to four decimal places.)Suppose the math tutoring lab sees 56 students on a typical Tuesday and that the number of students per day is Poisson distributed. a. Find P(X ≤ 43). What function or formula did you use to answer this question? On my TI-84 Plus, I did a PoissonCDF with Lambda = 56 and the x value = 43. This resulted in 0.04309... Was I correct in using the PoissonCDF, or should I have used the PoissonPDF? b. What is the probability that more than 60 students will come in next Tuesday? Likewise, on my TI-84 Plus, I did a PoissonCDF with Lambda = 60 and the x value = 56. This resulted in 0.7309... Was I correct in assuming that the Lambda is 60 and the x value is 56?
- Consider a binomial experiment with n = 10 and p = .10.a. Compute f(0).Suppose that historically, 35% of applicants that are offered admittance to Texas Tech actually enroll, while the others take offers somewhere else. If Texas Tech will accept 9300 this coming year, what is the probability that less than 3250 will actually enroll? Use the normal approximation to the binomial. P(X < 3250)The F Statistic from an experiment with k = 7 and n = 42 is 2.55. At α = 0.05, will you reject the null hypothesis?
- In a clinical study, a random sample of 540 participants agree to have their blood drawn, which is to be examined for the presence of antibodies against a certain contagious disease. It is found in 22% of the blood samples, which experimenters hope to extrapolate to the general population. From this random sample, 10 participants' blood samples are selected at random. If X is the number of samples out of the 10 who have these antibodies, what can we say about X? A. The sample size is not large enough for us to approximate X using a normal distribution B.The expected value of X is 22 C. X can be approximated using a normal distribution in lieu of a binomial distribution D. X has a sampling distribution that is normalSuppose that historically, 36% of applicants that are offered admittance to Georgia Southern actually enroll, while the others take offers somewhere else. If Georgia Southern will accept 9150 this coming year, what is the probability that less than 3250 will actually enroll? Use the normal approximation to the binomial. P(X < 3250) =The designer of a new sheet metal stamping machine claims that their new machine can turn out a certain product faster than the machine now in use. Nine independent trials of stamping the same item on each machine gave the following results on times to completion:. Standard Machine: n1 = 9, x̄1 = 35.22 seconds, s1² = 24.4375 seconds² New Machine: n2 = 9, x̄2 = 31.56 seconds, s2² = 20.0275 seconds² Given the aforementioned data, the hypotheses H0: µ1 - µ2 ≤ 0 and H1: µ1 - µ2 > 0, α = 0.05, and assuming that the both machines have the same variance, is there evidence to substantiate the designer’s claim? a. The t test statistic equals 1.65, so there is sufficient evidence to substantiate the designer’s claim. b. The z test statistic equals 1.75, so there is insufficient evidence to substantiate the designer’s claim. c. The t test statistic equals 1.75, so there is sufficient evidence to substantiate the designer’s claim. d. The t test statistic…