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)
Math question: Find the equation of an ellipse if the center is (-2,3), the major axis is 6 units long, and the minor axis is 4 units long.
+
What are the key characteristics of an ellipse function?
+
Math Question: Simplify √(27) + 2√(12) - √(75) - √(50)
+
New questions in Mathematics
5 . {2/5 + [ (8/-9) - (1/-7) + (-2/5) ] ÷ (2/-5)} . 8/15
-6n+5=-13
What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?
*Question!!* *Victory saved 3,000 in first bank and 2,000 Naira in union bank PSC with interest rate of X% and Y% per annual respectively his total interest in one year is #640. If she has saved 2,000 naira with first bank and 3,000 naira in union bank for same period she would have made extra 20# as additional interest, then find the value of X and Y
What will be the density of a fluid whose volume is 130 cubic meters contains 16 technical units of mass? If required Consider g=10 m/s2
All the liquid contained in a barrel is distributed into 96 equal glasses up to its maximum capacity. We want to pour the same amount of liquid from another barrel identical to the previous one into glasses identical to those used, but only up to 3/4 of its capacity. How many more glasses will be needed for this?
Estimate the fifth term if the first term is 8 and the common ratio is -1/2
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
calculate the normal vector of line y = -0.75x + 3
Let r: x - y 5 = 0. Determine a general equation of the line s parallel to the line r, which forms an isosceles triangle with area 8 with the line x = 5 and the Ox axis.
3.24 ÷ 82
The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion is greater than 35%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is z= 2.6. Find the P-value for this test.
Find the number of pounds of nails required for 17850 square feet of drywall if each thousand square feet requires 4.5 pounds of nails.
Build a truth table for the statement ~(pvq)^~p
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
On Tuesday Shanice bought five hats.On Wednesday half of all the hats that she had were destroyed.On Thursday there were only 17 left.How many Did she have on Monday.
A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.
a) 6x − 5 > x + 20
16-(x²+x+2)²
The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/s². Is the child hit by the car or not? How far from the traffic light does the car stop?