The question is incomplete. Here is the complete question.
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 or 5 of them germinate. Do not round your intermiediate computations, and round your answer to three decimal places.
Answer: P(4<X<5) = 0.624
Step-by-step explanation: The probability of a seed germinate is a BinomialDistribution, i.e., a discrete probability distribution of the number of successes in a sequence of n independents experiments.
This distribution can be approximated to normal distribution by determining the values of mean and standard deviation population:
where
n is the sample quantity
p is proportion of successes
For the spinach seeds:
Mean is
5.85
Standard deviation is
1.431
Now, use
to convert into a standard normal distribution.
The probability we want is between 2 values: P(4<X<5).
Therefore, we have to convert those two values:
For X = 4:
z = -1.29
For X = 5:
z = -0.59
Using z-table:
P(X>4) = 1 - P(z< -1.29) = 0.9015
P(X<5) = P(z< -0.59) = 0.2776
The probability will be
P(4<X<5) = P(X>4) - P(X<5)
P(4<X<5) = 0.9015 - 0.2776
P(4<X<5) = 0.624
The probability of 4 or 5 seeds germinate is0.624.
12/4=?/1
Answer: 3/1
Step-by-step explanation:
Your supposed to divide by 4 on the top and bottom.
12 4= 3
4 4 = 1
Answer:
15 feet
Step-by-step explanation:
We have 2 similar right triangles with legs height and length of shadows.
height of men : length of shadows of the man = height of tree : length of shadows of the tree
5 : 8 = x : 24
8x = 5* 24
x = 5*24/8 = 15 (feet)
Answer:
15ft
Step-by-step explanation:
5 ft is to 8 ft
A ft is to 24 ft
A = 24*5/8
A = 15ft
15ft
Step-by-step explanation:
1/ 3 is the probability of getting one head
Answer: The sides length are 8.32 cm
Step-by-step explanation:
An equilateral triangle has all his sides of the same lenght, so we assume that the triangle has an L lenght in his sides.
The area of a triangle iswhere the base is L, the Area is 30 and an unknown height.
To determine the height, we cut the triangle in half and take one side. By simetry, one side has a base of , a hypotenuse of L and a the unknown height.
Then we apply the Pythagoras theorem, this states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, or, Where one c is and the other is the height.
Then we find one of the c of the equation wich will be the height.
Finally, we use the triangle area mentioned before an find the value of L.