A binomial distribution has p = 0.35 and n = 100. If we are trying to approximate its probability using a normal approximation (applying the Central Limit Theorem) what is the standard deviation that we will use for this approximation? (a) 0.4770 (b) 0.2275 (c) 0.0477 (d) 4.7697 (e) None of the above
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From the provided information,
p = 0.35
n = 100
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- Scores for students on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 108. A random sample of 36 students who took the SAT-I test is selected. Let ?̅ represent the mean score of the sample. 4. The probability that the sample mean score ?̅ is greater than 540 is about (a) 0.9573 (b) 0.5427 (c) 0.6554 (d) 0.0427 (e) 0.17Previous studies have suggested that human body temperature is normally distributed with a mean of 98.6∘98.6∘ F and a standard deviation of 0.7∘0.7∘ F. You sample 75 random humans and find ¯x=97.1∘x¯=97.1∘ F. To estimate the typical human's body temperature,we should use: 2-PropZInt 2-SampZInt 2-SampTInt ZInterval TInterval 1-PropZIntStanding eye heights of women normally distributed with a mean of 1516 mm and a standard deviation of 63 mm. What % of women have a standing eye height between 1420 mm and 1560 mm, and what is the probability that a group of 20 women has an average standing eye height that is less than 1500 mm? Even though the sample size is less than 30, why can the Central Limit Theorem still be applied?
- A jar contains 3 nickels and 2 dimes. You reach in and randomly select 2 coins. Let Xrepresent the value of the two coins in cents. Find [a] theexpected value of Xand [b] the standard deviation of X.Round answers to 2 decimals. [a] Expected Value: __________ [b] Standard Deviation: __________Los Angeles workers have an average commute of 26 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N( , )b. Find the probability that a randomly selected LA worker has a commute that is longer than 30 minutes. __________c. Find the 80th percentile for the commute time of LA workers. ________ minutesThe average THC content of marijuana sold on the street is 10.3%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible a. What is the distribution of X? X ~ N(___,___) b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 12.3. c. Find the 62nd percentile for this distribution.
- + I/ * 00 A company manufactures light bulbs. The company wants the bulbs to have a mean life span of 997 hours. This average is maintained by periodically testing random samples of 16 light bulbs. If the t-value falls between -th an and t, go then the company will be satisfied that it is manufacturing acceptable light bulbs. For a random sample, the mean life span of the sample is 1002 hours and the standard deviation is 29 hours. Assume that life spans are approximately normally distributed. Is the company making acceptable light bulbs? Explain. and to 90 The company making acceptable light bulbs because the t-value for the sample is t= (Round to two decimal places as needed.) Get more help- Clear all Check answer 3:44 PM 64°F Sunny A 11/23/2021 PrtSc F5. F10 F11 F12 4. 5. 9. 6. K. B. M.Mean (E(x)) = np St. dev=Given the number of trials and the probability of success, find the mean, standard deviation1.n =12, p = 0.22. n = 20, p = 0.5In addition, find the indicated probabilities3. n =11, p = 0.05, find P(3 failures)4. n = 6, p = 0. 35, find P(at least 3 successes)5. A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly three out of six free throws?6. The manufacturing sector contributes 17% of Canadas gross domestic product. A customer orders 50 components from a factory that has a 99% quality production rate (99% of the products are defect-free). Find the probability that:a) none of the components in the order are defectiveb) there is at least one defective product in the order.c) There are at least two defective products in the order.d) Expected number of defective parts.7. Approximately 3% of the eggs in a store are cracked. If you buy two dozen eggs, what is the probability thata) none of your eggs…