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patriot [66]
3 years ago
5

N/8 + 1/2 = -3 1/2 What's the answer?

Mathematics
1 answer:
Mashcka [7]3 years ago
6 0
N= -24
Because
-3.5- 0.5= -3
N= -3 * 8
N= -24

Pretty sure it’s right if not..sorry
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Historically, there is a 40% chance of having clear sunny skies in Seattle in July. Let's assume that each day is independent fr
Igoryamba

Answer: a)  0.0058

b) 0.0026

Step-by-step explanation:

Given : The probability of having clear sunny skies in Seattle in July : p= 0.40

The number of days spent in Seattle  in July: n= 18

a) Using, Binomial probability formula : P(x)=^nC_xp^x(1-p)^{n-x}

The probability of having clear sunny skies on at least 13 of those days:-

P(x\geq13)=P(13)+P(14)+P(15)+P(16)+P(17)+P(18)\\\\=^{18}C_{13}(0.4)^{13}(0.6)^5+^{18}C_{14}(0.4)^{14}(0.6)^4+^{18}C_{15}(0.4)^{15}(0.6)^3+^{18}C_{16}(0.4)^{16}(0.6)^2+^{18}C_{17}(0.4)^{17}(0.6)^1+^{18}C_{18}(0.4)^{18}(0.6)^0

=\dfrac{18!}{13!5!}(0.4)^{13}(0.6)^5+\dfrac{18!}{14!4!}(0.4)^{14}(0.6)^4+\dfrac{18!}{15!3!}(0.4)^{15}(0.6)^3+\dfrac{18!}{16!2!}(0.4)^{16}(0.6)^2+(18)(0.4)^{17}(0.6)^1+(1)(0.4)^{18}

=0.00447111249474+0.00106455059399+0.000189253438931+0.0000236566798664+0.00000185542587187+0.000000068719476736

=0.00575049735288\approx0.0058

b) On converting binomial to normal distribution, we have

\text{Mean=}\mu=np= 18\times0.40=7.2\\\\\text{Standard deviation}=\sigma=\sqrt{np(1-p)}\\\\=\sqrt{18(0.40)(1-0.40)}=2.07846096908\approx2.08

Let x be the number of days having clear sunny skies in Seattle in July.

Then, using z=\dfrac{x-\mu}{\sigma} we have

z=\dfrac{13-7.2}{2.08}=2.78846153846\approx2.79

P-value = P(x\geq13)=P(z\geq2.79)=1-P(z

=1-0.9973645=0.0026355\approx0.0026

6 0
3 years ago
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