Q2 find the degree of the polynomial x4(4x+1)

An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.

MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is $\frac{21}{3000000}==0.000007$ .

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by $q$ .

$q=7\times 10^{-6}=0.000007$ .

So, the probability of survive, $p=1-q$

$\Rightarrow p=1-7\times 10^{-6}=0.999993.$

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

$=\binom(n,r)p^rq^{n-r}$

$=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}$

$=(0.999993)^{48}=0.999664$ (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total $n$ skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

$0.9=\binom {n }{r} p^rq^{n-r}$

Here, r=n.

$\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}$

$\Rightarrow 0.9=p^n$

$\Rightarrow 0.9=(0.999993)^n$

$\Rightarrow \ln(0.9)=n\ln(0.999993)$ [ taking $\log_e$ both sides]

$\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}$

$\Rightarrow n=15051.45$

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0

2 years ago

You and your friend are baking some cookies for your classmates. The recipe you have called for ½ cup of sugar. If you don’t hav

Vanyuwa [196]

Answer:

just need points

Step-by-step explanation:

7 0

2 years ago

Solve using the substitution method: 6x + y =15 4x + 3y = 31

Ksivusya [100]

Answer:

the answers to this are x= 1 and y= 9

3 0

2 years ago

A sporting goods manager was selling a ski set for a certain price. The manager offered the markdowns shown on the right, making

ra1l [238]

Answer:

The original selling price would be $ 515.87 ( approx )

Step-by-step explanation:

Consider the complete question is :

"A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making the one-day sale price of the ski set $325. Find the original selling price of the ski set. It was marked down 10% and 30%"

Suppose x be the original selling price ( in dollars ),

After marking down 10%,

New selling price = x - 10% of x = x - 0.1x = 0.9x

Again after marking down 30%,

Final selling price = 0.9x - 30% of 0.9x

= 0.9x - 0.3 × 0.9x

= 0.9x - 0.27x

= 0.63x

According to the question,

0.63x = 325

$\implies x =\frac{325}{0.63}=\$ 515.87$

Therefore, the original selling price would be $ 515.87.

8 0

2 years ago

Read 2 more answers

What two-dimensional figure will be created by a horizontal cross section?

Nuetrik [128]

Answer: First answer: hexagon

second answer: triangle

Step-by-step explanation: right on edge 2020

3 0

2 years ago

Read 2 more answers

Q2 find the degree of the polynomial x4(4x+1)​

Q2 find the degree of the polynomial x4(4x+1)