Question

CetaNow is a conservationist organization that monitors the health of whale and dolphin populations worldwide. As part of their work, they are modeling the lengths of blue whale calves that will be born over the next decade. For their model, CetaNow is using a normal distribution with a mean of 281 in and a standard deviation of 40in.

68

likes
340 views

Answer to a math question CetaNow is a conservationist organization that monitors the health of whale and dolphin populations worldwide. As part of their work, they are modeling the lengths of blue whale calves that will be born over the next decade. For their model, CetaNow is using a normal distribution with a mean of 281 in and a standard deviation of 40in.

Expert avatar
Seamus
4.9
98 Answers
To find the probability of blue whale calves being born with a length greater than 300 inches, we need to calculate the z-score using the z-score formula:

z = \frac{x - \mu}{\sigma}

where:
x = 300 inches (desired length)
\mu = 281 inches (mean length)
\sigma = 40 inches (standard deviation)

Plugging in the values:

z = \frac{300 - 281}{40} = \frac{19}{40} = 0.475

Next, we look up the z-score in the standard normal distribution table to find the probability.

The probability of a z-score of 0.475 in a standard normal distribution table is approximately 0.681 (or 68.1%).

Therefore, the probability of a blue whale calf being born with a length greater than 300 inches is approximately 0.681 or 68.1%.

\textbf{Answer:} The probability is approximately 0.681 or 68.1%.

Frequently asked questions (FAQs)
What is the area of a triangle with base length 8 units and height 5 units?
+
What is the limit as x approaches 0 of (e^x - 1)/(x^3)?
+
Math Question: "What is the factorization of 15x^2 + 21x?"
+
New questions in Mathematics
Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution
8x-(5-x)
3(4×-1)-2(×+3)=7(×-1)+2
5 people can complete a task in 72 hours. How many people are needed to complete the task in 60 hours.
Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is
What is the r.p.m. required to drill a 13/16" hole in mild steel if the cutting speed is 100 feet per minute?
Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)
The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?
Log5 625
TEST 123123+1236ttttt
(2m+3)(4m+3)=0
In a company dedicated to packaging beer in 750 mL containers, a normal distribution is handled in its packaging process, which registers an average of 745 mL and a standard deviation of 8 mL. Determine: a) The probability that a randomly selected container exceeds 765 mL of beer b) The probability that the beer content of a randomly selected container is between 735 and 755 mL.
The population of Pittsburgh, Pennsylvania, fell from 520,117 in 1970 to 305,704 in 2010. Write an exponential function P(t) modeling the population t years after 1970. Round the growth factor to the nearest tem thousandth.
Quadratic equation 2X = 15/X + 7
On+January+10+2023+the+CONSTRUCTORA+DEL+ORIENTE+SAC+company+acquires+land+to+develop+a+real estate+project%2C+which+prev%C3% A9+enable+50+lots+for+commercial+use+valued+in+S%2F+50%2C000.00+each+one%2C+the+company+has+as+a+business+model+generate+ cash+flow+through%C3%A9s+of+the+rental%2C+so+47%2C+of+the+50+enabled+lots+are+planned to lease+47%2C+and+ the+rest+will be%C3%A1n+used+by+the+company+for+management%C3%B3n+and+land+control
17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
When taking a test with m closed answers, a student knows the correct answer with probability p, otherwise he chooses one of the possible answers at random. What is the probability that the student knows the correct answer given that he answered the question correctly.
x²-7x+12=0
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
Convert (324)𝑓𝑖𝑣𝑒 into base-ten