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timofeeve [1]
3 years ago
5

my son had his 18 months visit to the doctor last week.the nurse took several measurement while we were there.his length(height)

is now 33 inches and his weight is 25.5 pounds.At birth he was 20 inches long and weighed 8 punds and 4 ounces.Determine what his weight and height would be if this growth pattern to continue.
Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0

18 months ……33inches, weight 25.5 pounds

When he was born = 9 months…20 inches, weight 8, 4 pounds

Every 9 months his height growth is 33-20 = 13 inches, his weight is 25.5-8.4=17.1 pounds 

<span>Pounds.  This means, for every 9 months, his growth is 13 inches and his weight is 17.1 pounds. For example we can determine his growth in 3 years.</span>

<span>3 years = 36 months, 36= 9*4, his height will be 4*13 inches= 52 inches, his weight will be 4*17.1 = 68.4 pounds </span>

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Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest, on this case we now that:

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The probability mass function for the Binomial distribution is given as:  

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For this case we want this probability:

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And we can use the complement rule like this:

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P(X=0) =(25C0)(0.3089)^0 (1-0.3089)^{25-0} =0.0000974  

P(X=1) =(25C1)(0.3089)^1 (1-0.3089)^{25-1} =0.0011  

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P(X=4) =(25C4)(0.3089)^4 (1-0.3089)^{25-4}=0.049  

P(X=5) =(25C5)(0.3089)^5 (1-0.3089)^{25-5}=0.092  

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P(X=8) =(25C8)(0.3089)^8 (1-0.3089)^{25-8}=0.168

And in order to do the operations we can use the following excel code:

"=1-BINOM.DIST(8,25,0.3089,TRUE)"  

And we got:

P(X>9) = 0.3593

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