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
106 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)
How many kilometers are equivalent to 80 miles?
+
Find the limit as x approaches 2 of (3x^2 - 7x + 2)/(x^2 - 4)
+
What is the derivative of sin(x) + 2cos(x) - tan(x) at x = π/3?
+
New questions in Mathematics
12-6x=4x+2
calculate the following vector based on its base vectors a= -18i,26j
Revenue Maximization: A company sells products at a price of $50 per unit. The demand function is p = 100 - q, where p is the price and q is the quantity sold. How many units should they sell to maximize revenue?
The Lenovo company manufactures laptop computers, it is known that for every 60 laptops produced, 54 go on the market with the highest quality standards. If a sample of 15 laptops is taken, calculate the probability that: Exactly 2 are not of high quality
Use the elimination to find the solution to each linear system. X+y=43 2x-y=20
A food delivery company charges on average a delivery fee of $5 per order (including food and shipping) and has monthly fixed costs of $600. If the average cost of each meal delivered that is revenue for the company is $10 and the company has a monthly profit of $800, how many orders must they deliver per month?
Supposed 60% of the register voters in a country or democrat. If a sample of 793 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 64% round your answer to four decimal places
The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers
A study reports the following final notation: F (3, 32) = 9.50, p < .05. How many total participants were involved in this study? Group of answer choices 34 32 36
4x + 8y = 5 2x + 4y = 10
Task 1 angel has 3 quarters 3/8 of a tank of gasoline and Miguel 7/8, who has more gasoline? number line on number line
A triangular window has a base of 6 ft. and a height of 7 ft. What is its area?
28 is 92 percent of what?
A stunt man jumps horizontally from a building to the roof of a garage that is 2 meters lower. How fast does he need to be to land on the roof of the said garage that is 3 meters away from the building?
A recurring sequence is one where elements repeat after completing one standard. If the sequence AB8C14D96AB8C1... is recurring its twentieth term is equal to: (A) B. (B) 8. (C) A. (D) 6. (E) D.
Determine the reduced form of the slope equation equal to 2
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
Find the area of a triangle ABC when m<C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
Calculate the pH of a solution obtained by mixing 100ml of 0.2M HCl with 100ml of 0.1M NaOH
y′ = 2x + 3y x′ = 7x − 4y x(0) = 2 y(0) = −1 sisteminin ¸c¨oz¨um¨un¨u bulunuz. (Lineer Denk. Sis.)