Suppose that the average pop song length in America is 4.43 minutes with a standard deviation of 1.23 minutes. It is known that song length is not normally distributed Suppose a random sample of 27 songs is taken from the population. What is the approximate probability that the average song length will be less than 4.51 minutes? Round fnal answer to 4 decimal places. If the probability cannot be found put 777.

The number of ants per acre in the forest is normally distributed with mean 45,000 and standard deviation 12,005. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. please answer all 3 subs B, C, and D round all answers to 4 decimal place where possible thank youb. Find the probability that a randomly selected acre in the forest has fewer than 54,589 ants. c. Find the probability that a randomly selected acre has between 48,168 and 56,283 ants. d. Find the first quartile.  ants (round your answer to a whole number)

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 2.4 and a mean diameter of 209 inches. If 69 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.1 inches? Round your answer to four decimal places. use ti 84 device

A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces. What is the probability of filling a cup between 25 and 31 ounces? Round your answer to four decimal places. Answer esc If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. angle. 9 ! 1 9 a Z ← @ 2 W S X # 3 e d C C $ 4 r f % 5 V t Oll A 6 Normal Table - to-z Normal Table - to z b y h & 7 n O u * 8 3 O i N ( 9 k O < 1 alt ) 0 1 Р O - : Tables ; Submit Answer 4 ? 1 + = Keypad Keyboard Shortcuts 31 11 1 Oct 28 }. backspace 1 USE YOUR SMARTPHONE FOR 2:53 3 D45 enter

The mean weight of all Goliath grouper caught on the Treasure coast is 377 pounds, with a standard deviation of 72 pounds. Suppose a random sample of 37 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 37 Goliath Grouper is within 31 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution four decimal places, if necessary.

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The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm. Suppose that 46 individuals are randomly chosen. Round all answers to 4 where possible. Question for the group of 46, find the probability that the average length is more than 188.

The average production cost for major movies is 67 million dollars and the standard deviation is 19 million dollars. Assume the production cost distribution is normal. Suppose that 45 randomly selected major movies are researched. Answer the following questions.  Give your answers in millions of dollars, not dollars.  Round all answers to 4 decimal places where possible. For the group of 45 movies, find the probability that the average production cost is between 63 and 65 million dollars.

Please answer A, B, & C.