Annual surveys of bird nests in a certain park consider the random variable x, representing the number of eggs in each nest. The
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- On a multiple choice test with 17 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the mean for the number of correct answers. (Round to two decimal places as needed.) The mean is Question 12 and the standard deviation is Fill in the blanks and find the indicated probability. Ro Find the probability of at least 2 girls in 6 births. Assur being born a girl and that the births are independent e The number of trials n= and the pl WERTYUIOP ASDFGHJKL ZXCVBNM 123 0 space go Xarrow_forwardGiven a normal population whose mean is 580 and whose standard deviation is 37, find each of the following: A. The probability that a random sample of 5 has a mean between 583 and 593.Probability = B. The probability that a random sample of 17 has a mean between 583 and 593.Probability = C. The probability that a random sample of 28 has a mean between 583 and 593.Probability =arrow_forwardSuppose the mean weight of carryion bags has a normal distribution with a mean of 7.4 pounds, with a standard deviation 2.2 pounds. Find the probability that the mean weight of a sample of 25 bookbags will exceed 7 pounds. a. .182 b. .629 c. .572 d. None of the other 4 answers e. .818arrow_forward
- In a certain region, the mean annual salary for electricians is $58,650. Let x be a random variable that represents an electrician's salary. Assume the standard deviation is $1420. If a random sample of 50 electricians is selected, what is the probability that the sample mean is greater than $59,000? A. 0.041 B. 0.403 C. 0.038 D. 0139arrow_forwardSolve normal distribution problem #11arrow_forwardA particular fruit's weights are normally distributed, with a mean of 455 grams and a standard deviation of 31 grams. If you pick 19 fruit at random, what is the probability that their mean weight will be between 434 grams and 443 grams? Use GeoGebra. Round to 4 places.arrow_forward
- Suppose Michigan is favored by 17.5 points over Indiana. If you bet a “unit” on Indiana and Indiana loses by 17 or less, you win $10. If Indiana loses by 18 or more points, you lose $11. Note: Both Michigan and Indiana are NCAA Basketball teams. 1)Find the mean and standard deviation of your winnings on a single bet. Assume that there is a 0.5 probability that you will win your bet and a 0.5 probability that you will lose your bet.arrow_forwardAssume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 44 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 44 births. The value of the mean is (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. (Round to one decimal place as needed.) Values of girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 35 girls a result that is significantly high? What does it…arrow_forwardAn automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 115 cm and a standard deviation of 5.5 cm. A. Find the probability that one selected subcomponent is longer than 117 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 117 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 117 cm. Probability =arrow_forward
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