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 you b. 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)

Q: Find the standard deviation of this number set: {2, 4, 9} showing all of the steps involved as shown…

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Q: A very good professional baseball player gets a hit about 35% of the time over an entire season.…

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A: A hypothesis test is a statistical  method that uses sample data to evaluate a hypothesis  about a…

Q: 9% of all cars fail the emissions inspection, find the probability that in a sample of 125 cars, 16…

A: Given n=125 P=0.09

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Q: The mean height of 24 male workers in a factory is 62 inches and the mean of 36 female workers in…

A: Answer: From the given data, Number male workers = 24 = n1 Number of female workers = 36 = n2 Mean…

Q: The population Mean is 125 with a st dev of 22.However , the population distribtuon is skewed to the…

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Q: The average number of cavities that thirty-year-old Americans have had in their lifetimes is 8. Do…

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Q: This population has a mean of 50. If we took an infinite number of samples and got the mean of each…

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Q: a survey of Town X found an average of 3.2 perosns per household and a mean of 1.2 televisions. I f…

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Q: The average weight of a group of 25 boys was. calculated to be 78'4 lbs. It was later discovered…

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Q: Temperatures in a city are distributed approximately normal, with a mean of 69 degrees Fahrenheit…

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Q: The lowest mark scored for a certain examination in a statistics class is 11. If the midrange of the…

A: Given that Minimum = 11 Midrange = 29

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

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Q: Trucks in a delivery fleet travel a mean of 130 miles per day with a standard deviation of 39 miles…

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Q: Find the range & the standard deviation :  74,70,70,66,68,69,69

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Q: An ABC new report stated that the mean distance that commuters in the United States travel each way…

A: Given : μ = 16 , σ= 8 and n= 75

Q: he first 8 data points have mean 110.63. The second 78 data points have mean 3.02. What is the…

A: From the given information, Consider,  n1=8, x1=110.63n2=78, x2=3.02

Q: 5. Two different 5th grade classes take the same test. In the first class of 50 students the mean…

A: Given the First class Sample size =50  Mean =70  Second class  Sample size =20  Mean =90 We have to…

Q: The probability of getting a reading between 1.50°C and 2.25°C is (Round to four decimal places as…

A: The probability of getting a reading between 1.50°C and 2.25°C is,…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: given data,normal distribution μ=5σ=3probability that person will wait more than 9 minutes =?

Q: find mean if n=2 and p=0.10

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Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

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Q: The mean weight of 150 students in a certain class is 60 kg. The mean weight of boys in the class is…

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Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225 and the mean…

A: From the provided information,

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Q: Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly…

A: Given Population mean μ=137, population standard deviations σ=69, Let X be the rain in Sydney Note:…

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Q: A card is randomly drawn from a deck of 52 card with replacement 456 times. Find the mean of the…

A: Total number of cards = 52 Number of hearts = 13 Let p = P(heart)= 13/52 = 1/4 = 0.25

Q: Which is the best estimate for the number who bought fewer than 20 items during their trip? Rel f…

A: The histogram shows the number of items that customers bought during a trip to the grocery store one…

Q: Task: Consider a population consisting of the following data: 3, 5, 7, 9. 1. Solve for the…

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Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

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Q: he lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

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Q: Which graph represents P81? Choose the correct graph below. O A. O B. The temperature for P81 is…

A: Let Z denote the readings on the thermometre. Given that Z follows N(0,1)

Q: Find the probability that the mean for 20 randomly selected distances is greater than 195.70 cm.

A: Given that.   X~N( μ , ?)   μ=197.5     , ?=8.9   Z-score =( x - μ )/?

Q: Christopher is 6' (72") tall.  The population mean height for men in the United States is 5' 10"…

A: Let X be the height for men in inches.Here,X~N(70,32),i.e.,X~N(70,9).Let x be the value of…

Q: Three cars are driving on a racetrack. The mean speed of the three cars is 100 miles per hour. Car X…

A: Ans:

Q: The weights of students in a certain school are normally distributed with a mean weight of 66 kg.…

A: Given that  Mean=66 P(X>70)=10% Find P(52<X<66)=?

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.