A type of oscilloscope has a lifespan, expressed in years, which can be modelled by a random variable $D$ that follows an exponential distribution with parameter $\lambda$. It is known that the average lifespan of this type of oscilloscope is 8 years. Statement 1: for an oscilloscope of this type chosen at random and having already operated for 3 years, the probability that the lifespan is greater than or equal to 10 years, rounded to the nearest hundredth, is equal to 0.42. Recall that if $X$ is a random variable that follows an exponential distribution with parameter $\lambda$, then for all positive real $t$: $P(X \leqslant t) = 1 - \mathrm{e}^{-\lambda t}$. Indicate whether Statement 1 is true or false, justifying your answer.
A type of oscilloscope has a lifespan, expressed in years, which can be modelled by a random variable $D$ that follows an exponential distribution with parameter $\lambda$. It is known that the average lifespan of this type of oscilloscope is 8 years.\\
Statement 1: for an oscilloscope of this type chosen at random and having already operated for 3 years, the probability that the lifespan is greater than or equal to 10 years, rounded to the nearest hundredth, is equal to 0.42.\\
Recall that if $X$ is a random variable that follows an exponential distribution with parameter $\lambda$, then for all positive real $t$: $P(X \leqslant t) = 1 - \mathrm{e}^{-\lambda t}$.\\
Indicate whether Statement 1 is true or false, justifying your answer.