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 mean, mode, median, range, and average of the following set of numbers: 10, 15, 20, 15, 18, 22, 10?
+
If sin(x) = 0.6, what is the value of x in degrees?
+
Question: What is the limit as x approaches 2 of (3x^2 - 4x + 1)?
+
New questions in Mathematics
Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps
431414-1*(11111-1)-4*(5*3)
the value of sin 178Β°58'
Karina has a plot of 5000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used to grow lettuce?
A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel unit, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.
A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.
2x-y=5 x-y=4
Lim x β†’ 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2
7. Find the equation of the line passing through the points (βˆ’4,βˆ’2) π‘Žπ‘›π‘‘ (3,6), give the equation in the form π‘Žπ‘₯+𝑏𝑦+𝑐=0, where π‘Ž,𝑏,𝑐 are whole numbers and π‘Ž>0.
If A and B are any events, the property that is not always true is: a) 0 ≀ 𝑃(𝐴 ∩ 𝐡) ≀ 1 b) 𝑃(Ξ©) = 1 c) 𝑃(𝐡) = 1 βˆ’ 𝑃(𝐡𝑐) d) 𝑃(βˆ…) = 0 e) 𝑃(𝐴 βˆͺ 𝐡) = 𝑃(𝐴) + 𝑃(𝐡)
P(Z<z)=0.1003
Find each coefficient described. Coefficient of u^2 in expansion of (u - 3)^3
392929-9
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
We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?
To get to a hotel on the hill you have to travel 6 km of uphill road and every kilometer there are 6 sharp curves. Each of the sharp curves is marked by three traffic signs. How many traffic signs are there on the stretch of road that leads to the arbergi?
2x-5-x+2=5x-11
Select a variable and collect at least 50 data values. For example, you may ask the students in the college how many hours they study per week or how old they are, etc. a. Explain what your target population was. b. State how the sample was selected. c. Summarise the data by using a frequency table. d. Calculate all the descriptive measures for the data and describe the data set using the measures. e. Present the data in an appropriate way. f. Write a paragraph summarizing the data.
A candy manufacturer must monitor deviations in the amount of sugar in their products They want their products to meet standards. They selected a random sample of 20 candies and found that the sandard deviation of that sample is 1.7. What is the probabilty of finding a sample variance as high or higher if the population variance is actually 3277 Assume the population distribution is normal.
In an experiment to assess the effect of listening to audiobooks while driving, participants were asked to drive down a straight road in a driving simulator. The accompanying data on time (in milliseconds) to react when a pedestrian walked into the street for 10 drivers listening to an audiobook are consistent with summary statistics and graphs that appeared in the paper "Good Distractions: Testing the Effect of Listening to an Audiobook on Driving Performance in Simple and Complex Road Environments."† (Round your answers to four decimal places.) 1,018 1,007 1,054 988 937 1,030 1,065 1,011 860 1,106 A button hyperlink to the SALT program that reads: Use SALT. Calculate the variance for this data set. 7437.7333 Incorrect: Your answer is incorrect. Calculate the standard deviation for this data set. 86.2022 Incorrect: Your answer is incorrect.