Answer
The expected number of orange candies is 13.75 and the standard deviation is 2.905. 1.) To calculate the expected total of orange candies, we multiply the sample size by the respective percentage. For the dynamite mints, it’s 25 x 10% = 2.5, and for the holiday mints, it’s 25 x 45% = 11.25. Adding these gives us a total of 2.5 + 11.25 = 13.75. 2.) For the standard deviation, we determine the standard deviation for each sample using the formula: standard deviation = ,[np(1-p)], where n is the sample size and p is the probability. For dynamite mints, we have ,[25 x 10% (1 – 10%)] = 1.5, and for holiday mints, it’s ,[25 x 45% (1 – 45%)] = 2.4874… To find the overall standard deviation, we combine them as follows: Std = ,(1.5^2 + 2.4874…^2) = ,8.4375… = 2.9046, which rounds to 2.905.
Related Questions
- What should the exponent of the variable b be in Marina’s simplified expression (-frac{1}{2}a^4b)
- Using the words from the word list, name all the parts of an isosceles triangle. Some words may be u
- Naoya read a book cover to cover in a single session at a rate of 55 pages per hour. After 4 hours,
- What are the expected total number of orange candies and the standard deviation for the total number
- What equation represents the transformed function of the graph y = |x| as shown below?
- Which statement describes whether there is an extraneous solution to the equation x – 3 = x – 5? A.
- In rectangle JKLM, with m∠KJM = m∠KLM = 90° and m∠KJC + m∠MLC, which reason justifies the s
- What do the properties of polynomial addition mean? Complete each statement: The closure property st
- Dan uses a compass to draw an arc from point Q, as shown. He wants to construct a line segment throu
- A company manufactures video games with a current defect rate of 0.95%. To minimize the number of de