If 2% of electric bulbs manufactured by a certain company are defective. Find the probability that in a sample of 200 bulbs; (i) less than 2 bulbs; (ii) more than 3 bulbs are defective. [e-4 = 0.0183].
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![If 2% of electric bulbs manufactured by
a certain company are defective. Find
the probability that in a sample of 200
bulbs; (i) less than 2 bulbs; (ii) more
than 3 bulbs are defective. [e-4 =
0.0183].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c0d8c15-9ac7-4011-9d00-5ff04445fc78%2Fa7cf72e4-517c-47d4-a66a-38fe13a9daba%2Fz1zbocj_processed.jpeg&w=3840&q=75)
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- The probability that you will get an A grade in Quantitative methods is 0.7.The probability that you will get an A grade in Marketing is 0.5.Assuming these two courses are independent, compute the probability that you will get an A grade in both these subjects.For a football game in the National Football League, let y = difference between the number of points scored by the home team and the away team (so y > 0 if the home team wins). Let x bet the predicted difference according to the Las Vegas betting spread. For the 768 NFL games played between 2003 and 2006, output follows. Predictor Coefficient SE Coef T P Constant -0.4022 0.5233 -0.77 0.442 BP 1.0251 0.0824 12.44 0.000 (a) We wish to test the null hypothesis that the Las Vegas predictions are unbiased. This will correspond with ? = 0 and ? = b) Based on the results shown in the table, is there much evidence that the sample fit differs from the model ?y = ? + ?x, with values of alpha and beta above? Why?f X is a random variable such that: E(X) = 6.2 and E(X2) = 62.5, then what is the standard deviation of X?
- The random variable for a person's taxi waiting time has an exponential distribution and the average taxi waiting time is 4 minutes. Accordingly, what is the probability of a person waiting for a taxi for 3 minutes? (Note:Take λ=1/4)10 A nature reserve has one bird of an uncommon species which frequents the large expanse of reed beds there. It is found that if a birdwatcher arrives at the path adjoining the reed beds, the probability that he or she is still waiting there to see the bird a time y later, where y is measured in minutes, is ly + 3 y ≥ 0. Find the probability that a birdwatcher spends between 2 and 4 minutes waiting to see the bird, and the mean and variance of the time that he or she waits there.Suppose data shows that only 50% of breast cancer patients can survive more than 5 years. You suspect the claimed survival rate is too low, so you'd like to conduct a study to examine this situation. What is the null and alternative hypothesis in this situation? Let p represent the true percentage of breast cancer patients who survive more than 5 years. Ho p=0.5 v.s. Ha p > 0.5 Ho p=0.5 v.s. Ha : p 0.5
- zA survey of 2,350 adults reported that 54% watch news videos. Complete parts (a) through (c) below K a Suppose that you take a sample of 50 adults. If the population proportion of adults who watch news videos is 0.54, what is the probability that fewer than half in your sample will watch news videos? The probability is 0.2852 that fewer than half of the adults in the sample will watch news videos (Round to four decimal places as needed.) b. Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0 54, what is the probability that fewer than half in your sample will watch news videos? The probability is that fewer than half of the adults in the sample will watch news videos (Round to four decimal places as needed)The time T, in minutes, between the arrival of two successive patients in an emergency room can be modeled as an exponential distribution with mean 20 minutes.Determine the following probabilities:(a) P(T > 30), (b) P(12 <T< 18), (c) P(T < 25). NOTE: Please explain each part, so the problem can be used as a Study Guide
- q66. The magnitude (Richter scale) of earthquake along a Taiwanese fault is exponentially distributed, with A= (1/2.5). What is the probability of an earthquake exceeding magnitude 6.4? There is 1 earthquake per year (on average) along the fault with magnitude greater than 5.5. Given this, what is the probability of an earthquake during the year that exceeds magnitude 7.2?X is the number of defective parts in a sample of 10 randomly selected parts coming from a manufactoring process in which 1.5% of all parts are defective. How do I find the probabilty the sample contains no broken parts?
