Question

The probability of growing a seedling from a seed is 0.62. How many seeds do I need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87?

268

likes
1338 views

Answer to a math question The probability of growing a seedling from a seed is 0.62. How many seeds do I need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87?

Expert avatar
Hank
4.8
55 Answers
Let’s assume that the probability of growing a seedling from a seed is p = 0.62. We want to find the number of seeds we need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87. Let’s call the number of seeds we need to plant n. The probability of not growing a seedling from a single seed is 1 - p = 0.38. Therefore, the probability of not growing a seedling from n seeds is (1 - p)^n. The probability of growing at least one seedling is the complement of the probability of not growing any seedlings, which is 1 - (1 - p)^n. We want to find the smallest integer value of n such that 1 - (1 - p)^n >= 0.87. Using a calculator, we can solve for n and get n >= 5. Therefore, we need to plant at least 5 seeds to ensure that the probability of growing at least one seedling is greater than or equal to 0.87.

Frequently asked questions (FAQs)
What is the value of the cube root function, when the input is 64?
+
Question: If log(x) + log(y) = log(z), where x = 100 and y = 10, find the value of z. (
+
Math Question: Find the value of f(x) = 3x^2 - 5x + 2 when x = 4.
+
New questions in Mathematics
A circular park has a diameter of 150ft. A circular fence is to be placed on the edge of this park. Calculate the cost of fencing this park if the rate charged is $7 per foot. Use π = 3.14.
The gross domestic product the gdp for the United States in 2017 was approximately $2.05x10^3. If you wrote this number in standard notation , it would be 205 followed by how many zeros
Suppose 56% of politicians are lawyers if a random sample of size 564 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportions buy more than 4% round your answer to four decimal places
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?
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
how many arrangement can be made of 4 letters chosen from the 8 letters of the world ABBSOLUTE
According to a survey in a country 27% of adults do not own a credit card suppose a simple random sample of 800 adults is obtained . Describe the sampling distribution of P hat , the sample proportion of adults who do not own a credit card
6-35 A recent study by an environmental watchdog determined that the amount of contaminants in Minnesota lakes (in parts per million) it has a normal distribution with a mean of 64 ppm and variance of 17.6. Assume that 35 lakes are randomly selected and sampled. Find the probability that the sample average of the amount of contaminants is a) Greater than 72 ppm. b) Between 64 and 72 ppm. c) Exactly 64 ppm. d) Greater than 94 ppm.
User Before the election, a poll of 60 voters found the proportion who support the Green candidate to be 25%. Calculate the 90% confidence interval for the population parameter. (Give your answers as a PERCENTAGE rounded to TWO DECIMAL PLACES: exclude any trailing zeros and DO NOT INSERT THE % SIGN) Give the lower limit of the 90% confidence interval Give the upper limit of the 90% confidence interval
30y - y . y = 144
The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.
Professor Vélez has withdrawn 40 monthly payments of $3,275 from her investment account. If the investment account yields 4% convertible monthly, how much did you have in your investment account one month before making the first withdrawal? (Since you started making withdrawals you have not made any deposits.)
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.
Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) − f(p)| ≤ M|g(x) − g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.
Find sup { x∈R, x²+3<4x }. Justify the answer
Perform operations with the polynomials P(x) = x3 and Q(x) = 2x2 + x – 3x3 : a) P(x) - Q(x)
The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.
Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 15 girls in the book club, how many boys are in the club?
Sarah is lining a square tray with 1 inch square tiles. the side length of the tray is 9 inches. How many tiles does Sarah need?
Let f(x)=-1/2x+5 evaluate f(-6)