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)
Q: What is the graph of the logarithmic function f(x) = log(base 2)(x) + 3 transformed by shifting 2 units right and 4 units down?
+
What is the equation of an exponential function that starts at (0,2) and passes through (1,5)?
+
Find the value of x in the cubic equation 4x^3 + 2x^2 - 3x + 1 = 0.
+
New questions in Mathematics
A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:40 a.m. Round your answer to four decimal places, if necessary.
A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?
calculate the following vector based on its base vectors a= -18i,26j
A consulting company charges a fee of $50 per hour for consulting. If their monthly fixed costs are $1,000 and they want to make a monthly profit of $2,500, how many consulting hours should they bill per month?
[(36,000,000)(0.000003)^2]divided(0.00000006)
(6.2x10^3)(3x10^-6)
The equation of the circle that passes through (5,3) and is tangent to the abscissa axis at x=2 is a.(x-2)^2 (y 3)^2 = 9 b.(x-2)^2 (y-3)^2 = 9 c.(x-2)^2 (y-3)^2 = 4 d.(x-2)^2 (y 1)^2 = 4 e.(x-2)^2 (y-1)^2 = 4
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?
Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?
89, ÷ 10
How to do 15 x 3304
Quadratic equation 2X = 15/X + 7
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?
List the remaining zeros of the polynomial with the given zeros Zeros are: 2, 3i, and 3 + i
15.A newly married couple purchased a home with a $123710 down payment. They financed the remaining balance of the home with a mortgage. Their payments were $15395 at the end of every six months for 23 years and the interest rate was 10.6%, compounded semi-annually. How much did they purchase their home for. Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
A diamond ring was reduced from $999.99 to $689.99. Find the percent reduction in the price. Round the answer to the nearest tenth of a percent, if necessary.
Cuboid containers (open at the top) should be examined with regard to their volume. The figure below shows a network of such containers (x ∈ Df). Determine a function ƒ (assignment rule and definition area D) that describes the volume of these containers and calculate the volume of such a container if the content of the base area is 16 dm². Show that this function f has neither a local maximum nor a global maximum
2 - 6x = -16x + 28
16-(x²+x+2)²
Define excel and why we use it?