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Carolas Purvis

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Statistics MAT2058

Seven peas are generated from parents having the green/yellow pair of genes., so there is a .75 probability that an individuaal pea will have a green pod. find the probability that among 7 offspring peas, at least 6 have green pods. is it unusual to get at least 6 peas with a green pod when 7 offspring peas are generated?

Is it unusual to,randomly select 7 peas and find that at least 6 of them have a green pod? Note t hat a small probability is one that is less than 0.05.

cen96305

Member

Registered: 2014-09-22

Posts: 1

Re: Statistics MAT2058

Seven peas are generated from parents having the green/yellow pair of genes., so there is a .75 probability that an individuaal pea will have a green pod. find the probability that among 7 offspring peas, at least 6 have green pods. is it unusual to get at least 6 peas with a green pod when 7 offspring peas are generated?

Is it unusual to,randomly select 7 peas and find that at least 6 of them have a green pod? Note t hat a small probability is one that is less than 0.05.

1. Find the standard score (z) for which 50% of the area under the normal curve is below the mean.
   

2. Find the z-score for the standard normal distribution where the area is 0.85 to the left of z.

Bob

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Registered: 2010-06-20

Posts: 10,803

Re: Statistics MAT2058

hi Carolas Purvis and cen96305

Welcome to the forum. 

Seven peas are generated from parents having the green/yellow pair of genes., so there is a .75 probability that an individuaal pea will have a green pod. find the probability that among 7 offspring peas, at least 6 have green pods. is it unusual to get at least 6 peas with a green pod when 7 offspring peas are generated?

You need to calculate P(all seven green) + P(exactly six green).

Is this unusual?  Compare your probability with the given value of 0.05

1. Find the standard score (z) for which 50% of the area under the normal curve is below the mean.

The standard normal distribution has a mean of zero and a standard deviation of 1.  It is symmetrical with 50% above the mean and 50% below.

2. Find the z-score for the standard normal distribution where the area is 0.85 to the left of z.

You need to use a standard table to look up the z that gives 0.85

Look here:

http://www.mathsisfun.com/data/standard … table.html

The interactive graph should be set to "Up to z".  If you want to use the table note that it only shows z values from half way so you'll have to use with  P = 0.85 - 0.5

Bob

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